Easy Cause and Effect Essay Topics

Easy Cause and Effect Essay TopicsEasy cause and effect essay topics can be found in the topics section of any introductory college or university text. By learning how to structure and use topics in essay writing, you will become a more effective essay writer and an instructor will notice.The idea behind creating an effect essay is that you are showing your reader how an event changed someone's behavior or impact the lives of others. By offering examples, you want to show that an event can affect the way people think or feel. For example, you may use examples like: 'Bob goes to visit Mary but decides to stay home instead'Bob stays home from college but decides to visit Mary's house on Friday afternoon' (this is where the name effect of the event came from, by the way).Easy cause and effect essay topics can be found throughout every book or online resource. If you find yourself stuck on a topic, you may need to re-think your approach. For example, some people argue that there are a lo t of different types of causes to a certain event. For example, you might make an argument that the fact that Mary got ill impacted Bob's behavior and choice to stay home.There are three possible categories of causes. The first is where the change occurs automatically, without the person having to do anything to influence it. Examples would be the air and the sea level in the ocean following the warming of the planet due to greenhouse gas emissions. The second type is where the cause happens because of external factors, and the third type is where the cause happens because of internal factors.Remember that this is an analysis and not a side-by-side comparison. You need to start with the facts and then make a logical argument that follows that facts. Also remember that your topic should begin with an explanation of the event that was most important. It can also be helpful to make an outline of the essay so that you can see how your main ideas are related.One of the best places to loo k for topics is online. Since so many people use the Internet, you can usually find something interesting to write about on the web. It is also important to remember that the Internet is a constantly changing resource; you may find that the nature of the topic changes.An easy cause and effect essay topics will help you write clearly and compellingly about an issue. They can also be useful as teachable moments for yourself and other students.In your quest to learn about topics and how to use them to make your essay an effective and exciting one, you should always try to do original research. You should also be able to evaluate the validity of your findings, and be able to present your research with clarity and confidence. With the proper use of simple tools and resources, you will be well on your way to writing an effective essay.

Tips on How to Submit a Research Paper Topic

Tips on How to Submit a Research Paper TopicMany understudies go after research positions and search for how to present an exploration paper point. Nonetheless, in all actuality, there are not very many understudies who know about the best possible technique that one must follow so as to have achievement in presenting an examination paper theme. It is certainly obvious that nobody can let you know precisely how to present an exploration paper point. By and by, it is constantly prudent that you present an examination paper theme the correct way, as it is the most ideal approach to be perceived and endorsed by any of the exploration foundation that you are hoping to be related with.The most significant activity when you search for how to present an exploration paper point is to choose an exploration paper subject that has a pre-characterized group. Be explicit in your examination paper theme and ensure that it isn't exhausting or unreasonably specialized for the crowd. All things consi dered, on the off chance that you present your examination paper point in an excessively specialized way, it will no doubt not be perused by the crowd. So be explicit and pick a point that is simple for your crowd to comprehend. Be explicit and pick a subject that has just been defined by others in the area.When it comes to how to present an examination paper point, another significant hint is to consistently cling to the cutoff times that are set by the exploration foundation that you are keen on working with. On the off chance that you attempt to work around the standards of the exploration foundation, odds are you will get yourself not being acknowledged by them. A fruitful research paper point should be submitted in an auspicious way with the goal that it very well may be assessed and affirmed by the exploration establishment. For this situation, it is additionally imperative to ensure that the exploration paper subject you submit is spotless and compact. Also, you will need to ensure that the examination paper theme you submit to the exploration establishment is one that is intriguing enough for the audience.Finally, before you present an examination paper point, ensure that you inquire about the subject completely. By doing this, you will have the option to decide if you are qualified to be submitted for an examination paper theme in any case. Moreover, you will have the option to figure out what sort of theme that you ought to be submitting.The just other thing that you ought to consider in discovering how to present an exploration paper point is to not acknowledge any occupations or work offers that you find. Indeed, it is never a smart thought to acknowledge a proposition for employment since it can influence your odds of being acknowledged by the examination organization. Plus, one ought to consistently remember that this examination paper theme is the means by which to present an exploration paper topic.The last thing that you have to remember when you are looking for how to present an exploration paper subject is to guarantee that the exploration paper point that you submit is refreshed with the most recent data. At the point when this is done, it will be a lot simpler for you to be acknowledged by the exploration organization. Additionally, it will be better for your exploration paper point to be one of a kind and original.What is significant is that you pick an examination paper subject that will be acknowledged by the examination establishment. Consequently, don't stop for a second to present an exploration paper theme and perceive how you will be acknowledged and assessed for your examination paper subject.

Why Wisconsin Essay Samples Is So Important

<h1>Why Wisconsin Essay Samples Is So Important</h1><p>Wisconsin article tests can be found on pretty much every Internet based site or the typical book shop. The example to be utilized can either be a one-page exposition or a more drawn out one that is intended to be utilized by a group of people. Wisconsin exposition tests have the benefit of being natural and straightforward. Most understudies are all in a rush to get into school and the best possible composing tests are required with the goal that they remember to expound on the fundamental parts of their studies.</p><p></p><p>These Wisconsin article tests are regularly intended for various levels. So in the event that you are a senior at secondary school, at that point your example will most likely be straightforward. On the off chance that you are a secondary school understudy, at that point you may find that your paper test is progressively careful and definite. Regardless, your Wiscon sin exposition tests will show how you can pick between a more elevated level of learning and scholarly stuff.</p><p></p><p>These articles are typically loaded up with simpler perusing. In this way on the off chance that you are at a middle of the road or a secondary school level, you won't discover a lot of scholarly components. These scholars would essentially go over things, for example, the popular savants, to the most eminent creators. Such simple perusing for the middle or secondary school understudy gives you the most obvious opportunity with regards to having the option to present your application to a decent school or university.</p><p></p><p>Other than these Wisconsin exposition tests, you can likewise look at web based sites. Huge numbers of these locales would furnish you with a careful rundown of articles that have been set up by celebrated authors. They may likewise include online profiles that could assist you with settl ing on a choice on which essayists to pick. Much of the time, you would discover a few articles from a similar writer that had a similar substance and style. This implies the author is attempting to grandstand his novel characteristics.</p><p></p><p>These web based locales would be perfect on the off chance that you need to make a paper that would dazzle a school or college. You will likewise find that there are numerous different highlights that would make your life simpler. You will discover tips and deceives that can help you in thinking of a decent paper for a school placement test. Furthermore, there would be data on the best way to accurately alter the article. It is valuable to utilize exposition software.</p><p></p><p>Using paper programming would spare you the time and bother of figuring out how to alter an article, and thinking of them. By utilizing it, you would have the option to feature the significant focuses and parts of the paper. You would have the option to concentrate on what you have to and dispense with the remainder of the essay.</p><p></p><p>To summarize, why Wisconsin exposition tests are significant. You would be shocked to realize that not all articles get acknowledged. A poor composing test would just make your paper look poor. So on the off chance that you need to expert your school selection test, it is in every case best to examine online.</p>

Essay Topics For Accounting Information Systems

Essay Topics For Accounting Information SystemsThere are many interesting essay topics for accounting information systems, but first you must determine the topic that best suits your career goals. Many individuals do not consider writing in English as an alternative to their native language and are in such a hurry to get their work done that they jump at the first chance of an essay topic for accounting information systems assignment.Writing in English allows you to fully engage your reader with engaging writing. Instead of merely reading, you become engaged and curious about what your assigned writer is trying to accomplish. If you write in your own voice, instead of attempting to imitate someone else's writing style, you will stand out from others who may be hoping to get their work finished on time.First, though, it is imperative that you know that essay topics for accounting information systems can be written in a variety of forms, including a novelette, short story, novelette, c hapter, or even a foreign language. The foreign language format is particularly attractive because it offers the opportunity to express a variety of ideas in a single sentence or paragraph. A foreign language essay is also a wonderful choice for those who have not been exposed to this form of writing.When composing essay topics for accounting information systems in a foreign language, it is important to keep in mind that there are a number of constraints. For example, when writing in English, the foreign language forms are very different from English. As such certain English words are not appropriate and proper English words are not appropriate in the foreign language forms. You will also want to make sure that the essays you prepare for your future project meet the criteria of the particular foreign language requirement you have chosen.For example, there are many grammar and spelling rules in the foreign language forms that will be unfamiliar to you. And as a general rule, if the p iece is not well edited, it is unlikely that it will be read. In addition, most professional writers recognize that an argument is to be made in a foreign language essay. Therefore, it is wise to begin your essay by developing a persuasive argument or the why of a topic.Before you can write a persuasive essay, however, you must create a list of persuasive reasons that will help to support your thesis. After you have articulated a compelling argument, you should discuss your proposed thesis in the next part of your essay.With this simple process, you can develop essay topics for accounting information systems that will be suitable for English language writers. By following these tips, you can make sure that your foreign language essays are always on time and on target.

Use of sandwich structures - Free Essay Example

Sample details Pages: 27 Words: 8221 Downloads: 6 Date added: 2017/06/26 Category Statistics Essay Did you like this example? CHAPTER 1 INTRODUCTION 1.1 Introduction The use of sandwich structures has been increasing in recent years because of their lightweight and high stiffness. Commonly, the naval industry and transportation uses the E-glass fibers while the aerospace industry uses composite structures such as carbon fiber. The use of sandwich panels with composite facesheet in the naval industry is particularly appealing because they have better corrosion and environmental resistance and reduced magnetic signatures when compared to double-hull construction steel ships. Don’t waste time! Our writers will create an original "Use of sandwich structures" essay for you Create order On the other hand, composite sandwich panels are easily susceptible to damage by a strange object impact. The damage may be visible, penetration or perforation, or invisible, internal delamination and debonding. Both types of damages will result in stiffness and strength reduction. It is then important to study the impact behavior of composite sandwich panels. Failure in composite structures can be caused by low, high and extremely high or localized impact. An impact caused by a foreign body initiates two waves from impact point in a panel: a through-thickness wave and a transverse shear wave. Whether or not these waves play an important role in the impact response of the panel depends on the actual contact duration between the projectile and panel and the time it takes the transverse shear wave to reach the panel boundary. Figures 1.1 (a)-(c) show three-impact scenarios: low-velocity, high-velocity and ballistic impact. In low-velocity impact, the contact force duration is long compared to the time it takes the transverse shear wave travel to reach the plate boundary. Many waves reflect back and forth across the side dimension of the panel. In high-velocity impact, the contact force duration is much shorter than the transverse shear wave travel time through the panel. Usually high-velocity impact is the same with perforation and localized damage of the panel. Ballistic impact deals only with through-thickness wave propagation. During ballistic impact, there is complete perforation of the panel with little or no panel deformation. The contact force duration is approximately the wave travel time through the panel thickness. Ballistic impact usually involves the study of penetration mechanics. Low-velocity High-velocity Ballistic Impact The projectile to panel mass ratio will control whether wave propagation effect dominates the panel impact response and then suggested that a mass ratio be use as a parameter to determine impact response. It was shown that small mass impacts produce more damage than high-mass impacts having same kinetic energy. While small-mass impacts were defined by wave-controlled response, large mass impacts were defined by boundary-controlled response. Common examples of low-velocity impact are of bird strikes, collision with floating object, and dropped tools, may cause damage. Underwater blast or debris from a faraway explosion and air was considered as a high-velocity impact situation. Examples of ballistic impact would be a bullet or fragments from a nearby explosion hitting the panel. Another important factor governing the impact on composite structures is the ballistic limit. The ballistic limit is defined as the highest velocity of the projectile to cause perforation. When the residual velocity (exit) of the projectile is zero, then the initial velocity of the projectile that causes perforation is the ballistic limit of the sandwich panel. The ballistic limit may be calculate analytically or determined experimentally. In the experimental method, sandwich panels are shoot with projectiles over narrow range of velocities to either just cause penetration or to just perforate the panel. There exists a striking velocity at which 50% of the panels are completely perforate above this value and remaining 50% are partly penetrate below this value. This striking velocity is expresse as V50, which is the ballistic limit of the panel. In the analytical approach, the ballistic limit is determined by the conservation of energy principle. The approach is complex because it inc ludes a variety of factors like core thickness, facesheet thickness, shape of the projectile, core crushing stress, and so on. 1.2 Problem Statement This topic was an expansion of the Wan Awis research. He has done only an experimental work. For impact application, we need to predict skin and core material thickness. Since impact phenomena depend on numerous parameters such as material properties or projectile geometry, a numerical model, validated experimentally, is necessary to allow the study of the influence of several parameters without making costly experimental tests. This will definitely enhance the development of our military technology and achievements in the future because of the ability of this software to cut production cost and time consuming of the experimental work. The numerical figures have been compared to modal test results aiming mainly to validate the studies. Simulation based on finite element analysis (FEA) must not exceed 15% error or this simulation could be claimed not acceptable. 1.3 Objective To simulate the damage of composite sandwich structures subjected to high-velocity impact using finite element analysis. To determine the energy absorption capability of the components on the behavior of the sandwich panel under impact load using ANSYS AUTODYN 13.0 To validate a numerical model with actual experiment. 1.4 Scope of Works To characterize a mechanical behavior of carbon fiber panel by using tensile and determine the fiber volume force and density. Design and validate the numerical model. Conduct a ballistic impact test simulation. Using the experiments data to calculate the energy absorption on the impact. CHAPTER 2 LITERATURE REVIEW 2.1Introduction A great deal of research has been conducted in the area of impact of composite structures. In this chapter, previous work done on the impact response of laminated composite plates and composite sandwich panels will be reviewed. 2.2Impact of Composite Laminates A detail study of impact of composite laminates in the three impact regimes ballistic impact, low-velocity and high-velocity is presented in this section. 2.2.1Low-velocity Impact Abrate, 1998 give a specific review on different analytical models of impact on composite laminates. He classified impact models into four groups: impact on infinite plate model, energy balance models, spring-mass models, and complete models. In the energy balance model, the initial kinetic energy of the projectile is used to calculate the deformation of the composite laminate. The velocity of the projectile reaches zero at the maximum deflection of the composite laminate. At this point, all of the kinetic energy of the projectile is converted to strain energy needed to deform the composite laminate. Energy balance model assumes that the structure behaves in quasi-static manner. The time history of force and deflection are obtained using the spring-mass model representing the composite laminate. The model shown in Figure 2.1 consists of nonlinear contact stiffness (K), one spring representing the linear stiffness of the structure (Kbs), another spring for the nonlinear membrane stiff ness (Km), effective mass of the structure (M2) as well as the mass of the projectile (M1). Equations of motion are written from a free body diagram. The infinite plate model is used when the deformation wavefront has not reached the boundary but if the wave reaches the plate boundary then this model is not an appropriate one to use. In the complete model, the dynamics of the structure and projectile are taken into explanation. Appropriate plate theory has to be selected and used. In many cases the classical plate theory can be used but when transverse shear deformations become significant, higher-order theories must be used. One of the earliest studies on the impact of composite laminates was by Goldsmith et al, 1995, who conducted high-velocity and quasi-static impact tests on carbon-fiber laminates by using a cylindro-conical projectile. Three different specimen of varying thickness were considered. Energy balance principle was used to predict the dynamic penetration energy, static penetration energy, and also the ballistic limit of the composite laminate. The fiber failure accounted for most of the energy absorbed. The predicted theoretical energy was in good agreement with measured energy for thin laminates but not for the thick laminates. This was approved to the fact that transverse shear deformation played an important responsibility in thick laminates subjected to low-velocity impact. The effect of transverse shear deformation was not dominant due to its quick occurrence in the high-velocity impact of laminates. Therefore, the predicted energy in the dynamic case was always close to but less than the measured energy for the thin and thick laminates. The predicted ballistic limit was less than measured values due to the nonlinear factors. Cantwell, 2007 studied the influence of target geometry in the low-velocity impact of composite laminate. The tests were performed on GFRP plates with hemispherical indenter on either circular or square supports. He used energy-balance model to predict the plate deflection and the delamination area of the laminated structure. His study stated that there is little or no influence of target geometry on the failure modes. It also suggested that delamination was dependent on interlaminar shear stress and increasing the plate diameter required more energy for damage initiation. Hou et al., 2000 predicted impact damage in composite laminates using LSDYNA 3D. The numerical results were compared to experimental results on low-velocity impact on composite laminate with an initial velocity of 7.08 m/s The Chang-Chang failure criteria was modified taking the shear stress into consideration and the model was implemented in DYNA 3D. 2.2.2 High-velocity Impact In 1988, Cantwell performed high-velocity impact tests of CFRP laminates with 6 mm diameter, 1g steel ball as the projectile. The influence of fiber stacking sequence and target geometry was study. The experiments reveal that varying the target geometry had no significance on initial damage caused. While the damage initiated in the distal facesheet in thin laminates, however, in thick laminates it initiated from incident facesheet. Zhao et al., 2007 investigated the failure modes in composite laminates subjected to high-velocity impact. Three different laminates were subject to impact by hemispherical projectile in the range of 10-300 m/s. An energy balance was considered and equations for residual velocity for the laminates were given in terms of the mass of the projectile and striking velocity. The thickness and stacking sequence were finding to play an important role in the energy absorption. Cheng et al., 2007 developed an analytical model based on the spring-mass model for high-velocity impact of a blunt ended and a sharp-ended projectile on thick composite laminates. They considered the effect of moving boundary due to the propagation of shear wave. The analysis was modeled using series of quasi-static events. At the end of each quasi-static step, the failed layers were remove based on punch shear damage and fiber damage criteria, and the wave front was moved outwards. While the first spring stiffness constant was measure based on the penetration depth of the projectile, the second spring stiffness constant was measured based on the bottom node of the plate. 2.2.3 Ballistic Impact Silva et al., 2005 performed numerical simulations of ballistic impact on thin Kevlar 29 composite laminates using a fragment-simulating projectile. The laminate material model was simulating using AUTODYN and the projectile was modeled using Johnson-Cook strength model. Finite element mesh for both laminate and projectile was generating using True Grid. Accurate predictions of ballistic limit (V50) and the failure modes were made. Ballistic limit is the minimum velocity of impact at which a given projectile just perforates a given target. On occasion, the term is also used to identify the maximum impact velocity at which the projectile can penetrate into the target with perforation. It is often defined statistically as the impact velocity for which the projectile has a 50% probability of perforating the target; it is then denoted by V50. Guild et al., 2007 conducted numerical simulations of ballistic impact on composite laminates and compared them with experimental results. The laminates were made of E-glass/vinyl ester resin with varying thickness and ball bearings of varying mass were use as projectiles. The damage modes included fiber failure, matrix failure, penetration, and delamination. Hashin failure criteria was use to determine the damage mode. Delamination was modeled using an interface between the two plies. As the force increased between two nodes above the specified value, the nodes were untied and the delamination increased. The ballistic limit from experiments was in good agreement with numerical results Naik et al., 2008 studied the ballistic impact behavior of thick composites. E-glass/epoxy laminates of varying thickness were subject to high-velocity impact. The effects of projectile diameter, projectile mass and laminate thickness on the ballistic limit were studied. Wave theory and an energy balance were use to predict the ballistic limit of the laminate. The contact duration of the projectile with the laminate was maximum when the initial velocity was equal to ballistic limit and decreased when the initial velocity increased beyond the ballistic limit. Deka et al., 2008 conducted ballisitic impact on E-glass/polypropylene composite laminates with cylinder-shaped projectiles. The experimental results were validating with numerical analysis using LS-DYNA. Although the laminate was modeling in Hypermesh, LS-DYNA was used to analyze failure mechanisms. The analytical model was base on energy conservation and failure in the numerical analysis was predicted based on Hashins failure criteria. 2.3 Impact of Composite Sandwich Panels In this section, a detail study of impact of composite sandwich panels in the three impact regimes low-velocity, high-velocity and ballistic impact is presented. 2.3.1 Low-velocity Impact Mines et al., 1998 investigated quasi-static loading and low-velocity impact behavior on two different composite sandwich panels. While the first panel was made up of E-glass/vinyl ester skin and Coremat core, the second panel was made of Eglass/epoxy skin and aluminium honeycomb core. The first panel with Coremat core had failed in the sequence of core shear, debonding, and distal facesheet damage and incident facesheet failure. The second panel failed by core shear, debonding, incident facesheet failure and then distal facesheet failure later. In the low-velocity impact tests, the failure pattern remained the same in both the panels as of the quasi-static tests. The core properties and impact velocity govern the energy absorption capability of the sandwich panel. Wen et al., 1998 investigated the penetration and perforation of composite laminates and sandwich panels under quasi-static, drop-weight and ballistic impact tests by flat-faced, hemispherical-ended and conical-nosed indenters/projectiles. They categorized the impact on laminates and sandwich panels into low-velocity impact and wave-dominated (high-velocity/ballistic impact) response. It was also stated in the research that sandwich panels subjected to low-velocity impact have similar load-displacement characteristics as of quasi-static loading case. The perforation energy required by flat faced projectile was more than hemispherical-ended and conical shaped projectiles in high-velocity impact. Schubel et al., 2005 investigated quasi-static and low-velocity impact behavior of sandwich panels with woven carbon/epoxy facesheets and PVC foam. The low-velocity impact model behaved similar to quasi-static loading case when loads and strain levels were same. The static indentation response was compared to the numerical results obtained using ABAQUS and were in good agreement. A membrane solution, assuming membrane in the core affected region and plate on elastic foundation in the rest of sandwich panel was in poor agreement with the numerical results. Hoo Fatt et al., 2001, developed static and dynamic models of sandwich panels subjected to low-velocity impact. They investigated the behavior of sandwich panels having carbon/epoxy skins and a Nomex honeycomb core with a hemispherical indenter under various support conditions such as simply supported, fully clamped, and rigidly supported. Spring-mass models were considered to determine the load-displacement curve. They also investigated the damage initiation of sandwich panels under low-velocity impact loading. The initial mode of damage depended upon the panel support conditions, projectile nose shape, geometry of the specimens, and material properties of the facesheet and core. Various failure patterns were studied and solutions based on them were derived separately. The analytical solution for the ballistic limit was also found and results for thick laminates were in better agreement than thin laminates. Suvorov et al., 2005 performed numerical analysis on sandwich panels with foam core and studied the effect of interlayer in between the top facesheet and foam core. The foam core was modeled as crushable foam in ABAQUS. While the polyurethane (PUR) interlayer reduced the deformations in both the core and the composite facesheets, the elastomeric foam (EF) interlayer offered a better protection for the foam core alone. Besant et al., 2001 performed numerical analysis on sandwich panels with aluminium honeycomb core. The metal honeycomb core was modeled as elastic perfectly plastic material. A quadratic yield criterion was proposed for the core material, which included both normal and transverse shear stresses. The importance of core plasticity in finite element analysis was explained. 2.3.2 High-velocity Impact A great deal of work has been done in the area of low-velocity impact of laminates and sandwich panels and high-velocity impact of laminates but limited work has been presented in the domain of high-velocity and ballistic impact of sandwich panels. The following describes some recent studies on the high-velocity impact of composite sandwich panels Velmurugan et al., 2006 studied the projectile impact on composite sandwich panels in the range of 30-100 m/s. The sandwich models in this study were not the typical sandwich panels in the conventional sense. They had a core height comparable to the facesheet thickness and acted as a bonding agent between the facesheets. Energy-balance model was used to determine the ballistic limit of three different sandwich panels. They assumed the sandwich panel as a single plate since the foam layer was thin and comparable to facesheet thickness. Also uniform failure mechanism along the through thickness direction was assumed in their model. Skvortsov et al., 2003 developed an analytical model using energy-balance principle to determine the ballistic limit of composite sandwich panels subjected to high velocity impact. Two different sandwich panels were subjected to high velocity impact using three different projectiles. These tests were conducted on simply supported and rigidly supported boundary conditions, and the initial velocity was varied in the range of 70-95 m/s. The predicted panel energy was close to the experimental values and the error was due to the strain-rate effects, plastic behavior, and hardening phenomena, which are not consider in the analysis. 2.3.3 Ballistic Impact Kepler et al., 2007 conducted ballistic impact on sandwich panels consisting of GFRP plates and Divinycell H80 core, with three different projectiles. Lumped spring mass model was use to calculate force histories and panel response. Concentric rings connected by shear springs represented the sandwich panel. In this model, core shear deformation was assumed as the single significant contributor to the sandwich panel stiffness. The facesheet orthotropic was neglected in the panel response. Four different force histories: constant force, triangular force, sine series, and combination of sine and triangular force were used to calculate the energy loss in the panel. Of these, triangular and combined force gave results in better agreement with experimental results. 2.4Aluminium Honeycomb For design and construction of lightweight transportation systems such as satellites, aircraft, high-speed trains and fast ferries, structural weight saving is one of the major considerations. To meet this requirement, sandwich construction is frequently use instead of increasing material thickness. This type of construction consists of thin two facing layers separated by a core material. Potential materials for sandwich facings are aluminium alloys, high tensile steels, titanium, and composites depending on the specific mission requirement. Several types of core shapes and core material are been applied to the construction of sandwich structures. Among them, the honeycomb core that consists of very thin foils in the form of hexagonal cells perpendicular to the facings is the most popular. A sandwich construction provides excellent structural efficiency, i.e., with high ratio of strength to weight. Other advantages offered by sandwich construction are elimination of welding, superior insulating qualities and design versatility. Even if the concept of sandwich construction is not very new, it has primarily been adopt for non-strength part of structures in the last decade. This is because there are a variety of problem areas to be overcome when the sandwich construction is applied to design of dynamically loaded structures. Other investigators have previously carried out noteworthy theoretical and experimental studies on linear elastic and nonlinear behavior of aluminium sandwich panels. Kelsey et al., 1985 derived simple theoretical expressions of the shear modulus of honeycomb sandwich cores. Witherell, 1977 performed an extensive theoretical study for structural design of an air cushion vehicle hull structure using aluminium honeycomb sandwich panels. Okuto et al., 1991 showed the validity of the so-called equivalent plate thickness method in which a honeycomb sandwich panel subjected to inplane loads is approximately replaced by a single skin panel with equivalent plate thickness. Kobayashi et al., 1994, studied Elasto plastic bending behavior of sandwich panels. An experimental study was undertaken by Yeh et al., 1991 to investigate the buckling strength characteristics of aluminium honeycomb sandwich panels in axial compression. Kunimo et al., 1989 both, have studied the characteristics of the energy absorption capacity of bare honeycomb cores under lateral crushing loads theoretically and experimentally. 2.5 Ballistic Limit The ballistic limit may also be defined as the maximum velocity at which a particular projectile is expected to consistently fail to penetrate armor of given thickness and physical properties at a specified angle of obliquity. Because of the expense of firing tests and the impossibility of controlling striking velocity precisely, plus the existence of a zone of mixed results in which a projectile may completely penetrate or only partially penetrate under apparently identical conditions, statistical approaches are necessary, based upon limited firings. Certain approaches lead to approximation of the V50 Point, that is, the velocity at which complete penetration and incomplete penetration are equally likely to occur. Other methods attempt to approximate the V0 Point, that is, the maximum velocity at which no complete penetration will occur 2.6 Energy Absorption Mechanism of Composite Materials The research was done by Naik and Shrirao at 2004. Impact loads can be categorized into three categories which is low-velocity impact, high-velocity impact and hyper-velocity impact. This classification is made because of change in projectiles velocity will result in different mechanisms in terms of energy transfer between projectile and target, energy dissipation and damage propagation mechanism. Basically, ballistic impact is considered as low-mass high velocity impact. In this impact event, a low-mass projectile is launched by source into target at high velocity. It is unlike low-velocity impact that involved high-mass impactor impacting a target at low velocity. In view of the fact that ballistic impact is high velocity event, the effect is localized and near to impact location. According to Naik et al. (2006), seven possible energy absorbing mechanisms occur at the target during ballistic impact. Those mechanisms are cone formation at the back face of the target, deformation of secondary yarns, tension in primary yarns/fibres, delamination, matrix cracking, shear plugging and friction between the projectile and the target. Then, the researchers formulated all these energies into equation whereby the total energy absorbed by the target is summation of kinetic energy of moving cone EKE, shear plugging ESP, deformation of secondary yarns ED, tensile failure of primary yarns ETF, delamination EDL, matrix cracking EMC and friction energy EF. ETOTALi = EKEi + ESPi + EDi + ETFi + EDLi + EMCi + EFi Mines et al. (1999) identified three modes of energy absorption when analysed the ballistic perforation of composites with different shape of projectile. These energy absorptions are local perforation, delamination and friction between the missile and the target. However, the contribution of friction between the missile and the target in energy absorption is low compared to the other two. In terms of local perforation, three through-thickness regimes can be identified, namely: I shear failure, II tensile failure and III tensile failure and delamination. Out of these three regimes, the through-thickness perforation failure is dominated by shear failure. Similar observation has been made by other researcher for thick graphite epoxy laminates whereby the perforation failure is dominated by shear failure. The third main energy absorption mechanism is delamination. Delamination can propagate under Mode I (tensile) and Mode II (shear) loading and each mode can dominate each other depen ding on structural configuration of the composite as well as material properties. Therefore, it can be predicted that the total perforation energy is a summation of energy absorption due to local perforation, delamination and friction between the missile and the target. Epred = Ef + Esh + Edl where Ef = friction between the missile and the target; Esh = local perforation; Edl = delamination Apart from that, Morye et al. (2000) has studied energy absorption mechanism in thermoplastic fibre reinforced composites through experimental and analytical prediction. They considered three mechanisms that involved in absorbing energy by composite materials upon ballistic impact. The three energy absorption mechanisms are tensile failure of primary yarns, elastic deformation of secondary yarns and the third mechanism is kinetic energy of cone formed at back face of composite materials. They concluded that kinetic energy of the moving cone had a dominant effect as energy absorption mechanism for composite materials. However, they neglected a delamination as one of the factor contributed to the failure of composite materials during ballistic impact. 2.7 Kinetic Energy Equation Kinetic energy (KE) attack is a penetration of the residual energy of a projectile. A projectile can give a certain amount of energy to attack and damage a vehicle if the projectile sufficient residual energy when it arrive at the target. This residual is very important to overmatch the capability and strength of the target material to resist penetration, and then it will penetrate. Kinetic energy shot can be presented with the simple law of physic. K.E = Mprojectile Vprojectile2 Increasing the mass (Mprojectile) of the shot increases its energy, but the real payoff comes from increasing its velocity (Vprojectile). If the diameter of the shot fills the whole gun barrel, the projectile becomes heavier and difficult to accelerate to required velocity with the length of the barrel. Additionally, a large diameter solid shot will provide more energy to penetrate the armour plate compared to a projectile which has the same mass but a smaller diameter. Consequently, the larger shot is not only less effective at the target but it is difficult to give it the necessary velocity. According to Chang et al., 1990, depth of penetration at the target will depend not only on residual energy, but also on shape and size of the projectile. The curve shape at the projectile head is more important, as it must not only able to pierce the armour but the shoulders of the shot must also support the remainder so that it does not break up on its way through the armour. If for given mass the diameter of the shot is reduced and is length increased, then for the same residual energy the shot will penetrate further, as it is working on a smaller cross section area of armour. The ratio of length-to-diameter is called slenderness ratio. Any projectile with ratio in excess of 7:1 cannot be spin stabilized it is not until they reach a ratio approximately 20:1 that they can call long rod. So, based on those discussions above, we can conclude that energy absorption can be performed by this relation Eabsor = Ein Eout = [ Mprojectile Vin2] [ Mprojectile Vout2] = Mprojectile (Vin2 Vout2) So, Eabsorbed = Mprojectile (Vin2 Vout2) 2.8 Tsai-Hill Failure Criterion Hill, 1950 proposed a yield criterion for orthotropic materials: G+H12+F+H22+F+G32-2H12-2G13-2F23+2L232+2M132+2N122=1 This orthotropic yield criterion will be used as an orthotropic strength or failure criterion in the spirit of both criteria being limits of linear elastic behavior. Thus, Hills yield stresses F, G, H, L, M and N will be regarded as failure strengths. Hills criterion is an extension of von Mises yield criterion. The von Mises criterion, in turn, can be related to the amount of energy that is used to distort the isotropic body rather than to change its volume. However, distortion cannot be separated from dilatation in orthotropic materials, so Equation 2.8 is not related to distortional energy. Unfortunately, some authors still mistakenly call the criterion of Tsai-Hill a distortional energy failure criterion. The failure strength parameters F, G, H, L, M and N were related to the usual failure strength X, Y, and S for a lamina by Tsai. If only 12 acts on the body, then, because its maximum value is S, 2N=1S2 Similarly, if only 1 acts on the body, then G+H=1X2 And if only 2 acts, then F+H=1Y2 If the strength in the 3-direction is denoted by Z and only 3 acts, then F+G=1Z2 Then, upon combination of Equations (2.10), (2.11) and (2.12), the following relations between F, G, H and X, Y, Z result: 2F=1Y2+1Z2-1X2 2G=1X2+1Z2-1Y2 2H=1X2+1Y2-1Z2 For plane stress in the 1-2 plane of a unidirectional lamina with fibers in the 1-direction, 3 = 13 = 23 = 0. However, from the cross sectional of such a lamina in Figure 2.3, Y = Z from the obvious geometrical symmetry of the material construction. Thus, Equation (2.8) leads to 12X2-12X2+22Y2+122S2=1 as the governing failure criterion in terms of the familiar lamina principal strengths X, Y, and S. And, the appropriate values of Xt or Xc and Yt or Yc must be used depending on the signs of 1, 2, 12 (except that the surface is symmetrical about the plane 12 = 0 because S has only one value). Finally, for the off-axis composite material example of Tsai-Hill failure criterion, substitution of the stress-transformation equations, 1=xcos2 2=xsin2 12=-xsincos In Equation (2.14) yields the Tsai-Hill failure criterion for uniaxial off-axis strength, cos4X2+1S2-1X2cos2sin2+sin4Y2=1X2 which is one criterion. Because a composite lamina usually has different strengths in tension and compression, the values of X and Y must take on the appropriate values depending on the quadrant of stress space consists of four different segments that are continuous in value but not in slope at the uniaxial strengths. The Tsai-Hill failure criterion appears to be much more applicable to failure prediction for this composite material than either the maximum stress criterion or the maximum strain failure criterion. Other less obvious advantages of the Tsai-Hill failure criterion are: The variation of strength with angle of lamina orientation is smooth rather than having cusps that are not seen in experimental results. The strength continuously decreases as grows from 0 rather than the rise in uniaxial strength that is characteristic of both the maximum stress and the maximum strain criteria. The maximum stress and strain criteria are incorrect by 100% at 30. Considerable interaction exists between the failure strengths X, Y, S in the Tsai-Hill failure criterion depends on whether the material being studied is ductile or brittle. Other composite materials might be better treated with the maximum stress or the maximum strain criteria or even some other criterion. 2.9 Finite Element Analysis This subheading starts with a brief introduction to AUTODYN and then follows this with an overview of the SPH implementation carried out. Aizawa et al., 1980 has conducted the research about the AUTODYN software. The AUTODYN software is widely used to simulate non-linear impact phenomena involving large strains and deformations, plasticity, fracture, and flow. The software, available on PCs to supercomputers, is packaged in an interactive, integrated environment wherein the pre- and post-processing and the analysis are contained in a single menu-driven architecture. The software encompasses a number of different numerical approaches for the analysis of impact problems. Within the software, Lagrange, Euler, ALE (Arbitrary Lagrange Euler), Shells, and SPH (Smooth Particle Hydrodynamics) numerical processors (solvers) are available. Impact processes ranging from equipment drop tests to the hypervelocity impact of space debris on a spacecraft can be modeled. Related study also been done by N.K.et al., 1987. The results of a number of analyses are present to highlight the advantages and disadvantages of each numerical technique for different classes of impact applications. It is shown that the selection of the appropriate numerical technique or combination of technique is critical to achieving both an accurate and computationally efficient solution. Impact case studies presented include: Hypervelocity impact of space debris on a shielded spacecraft Impact and penetration of ceramic armor by a steel projectile Oblique impact and ricochet of a steel sphere on RHA armor Impact and crush of a steel girder Explosive formation of an oil well perforator with subsequent impact and penetration on a layered steel/concrete structure The solutions illustrate the use of different numerical techniques with emphasis on efficiency and accuracy. Validation of results with available experimental data is shown. Animations of the numerically simulated impact phenomena can be shown directly from the AUTODYN software. CHAPTER 3 SIMULATION METHODOLOGY This chapter provides the detailed description of method of approach used in carrying out the present study. This includes the strategies that have been design to serve guidelines throughout the process of the study and to assist in achieving the desired objectives. An outline of the methodology is first present in a flow chart to provide an overview of the whole process, followed by detailed discussion of the outline and elaboration of key procedures and techniques employed in the simulations. Flow of my methodology consists the methods that been took in order to accomplish the expected results. Figure 3.1 showed the complete flow of methodology for this research. First thing to do is to make some researches about the topic chosen. All information was gathered through readings from related journals and thesis did some diggings through numerous interviews to get a clear figure about this topic. Next step, study and learn about the simulation program that is going to be used in this research, ANSYS AUTODYN and based on previous researches from literature reviews paper and results, we try to validate whether ANSYS AUTODYN really reliable to be used to continue this research. Then, we simulate in ANSYS AUTODYN. The comparison and analysis were done to validate simulated results with response to actual damage specimen. 3.1Simulation Tools Used Finite element analysis was conduct on the sandwich structure using ANSYS 2-D/3-D finite element model was developed and appropriate material properties were given to each component. For both the cases, ANSYS AUTODYN 2-D/3-D NONLINEAR hydrocode was used. It is an explicit numerical analysis code, where the equations of mass, momentum and energy conservation coupled with materials descriptions are solved. Alternative numerical processors are available and can be selectively used to model different regions of a problem. The currently available processors include Lagrange, Euler, Euler FCT, ALE and SPH. 3.2 Simulation Justification Based on much discussion about which software that are available that could conduct the simulation on sandwich structure subjected to high velocity impact, finally the findings showed that ANSYS AUTODYN is the one that is going to be used to simulate the test. So, to prove that this software is capable to conduct the simulation, some comparison on result between Lagrange solver with SPH solver of ANSYS AUTODYN on one of the literature review topic, Cylinder impacting a rigid wall (Taylor Test) was done. The comparison was on the results for cylindrical shape impact behavior to see whether results simulated with Lagrange solver showed the more or less the same graph as simulate in SPH solver. Figure 3.2 (a) showed the experimental deformation of rigid wall. Whereas Figure 3.2 (b) and (c) represent the resulting final deformations and plastic strain contours for the two analyses. The results which are summarized in Table 3.1 show that both simulations show satisfactory comparison with experiment. The SPH solution compares almost exactly with the Lagrange result. Experimental Deformation Lagrange Simulation Result SPH Simulation Result Table 3.1 Comparison of experimental and numerical Taylor Test results Experiment Lagrange SPH Cylinder Length (mm) 23.13 to 23.59 23.30 23.35 Impact Diameter (mm) 16.70 to 17.04 16.78 16.80 This validation illustrates that the SPH implementation also works well for cylindrical symmetry. It proved that no special unphysical techniques are used to treat particles close to the axis, or indeed anywhere else in the problem. 3.3 Simulation Setup In the numerical simulations presented, the projectile is made of steel. The steel material properties are from the AUTODYN material library and are shown in Table 3.2. The size and geometry of the projectile vary with different problems. The projectile was considered rigid. Lagrange solver was applied to the projectile. The laminated composite material was model by Lagrange method. In order to account for contact/penetration behavior between the Lagrange projectile and the Lagrange laminate, the gap interaction logic of AUTODYN has been activated between the Lagrange cells. AUTODYN has a state of art contact logic wherein objects use a small gap to determine if interaction exists. This gap defines a detection zone that exists around each interacting cell face or node. If a node enters the detection zone it is repelled by a force that is a function of the intrusion depth. AUTODYN also features another special function impact/penetration interface to avoid excessive noise on the impact surfaces. This feature is activated in all the simulations presented. The Lagrange solver has been implemented in both 2D and 3D. However, AUTODYN-2D is used here for simplicity and ease of demonstration. The laminated composite specimens for the penetration experiment were rectangular. In the AUTODYN simulations, an equivalent rectangular laminate plate was modeled in 3D analysis. The size of the rectangular laminate is equivalent to the experiment laminate plate The detail flow of simulation is shown in Figure 3.3. 3.4 Description of Model Consider the composite sandwich panel and rigid projectile as shown in Figure 3.4. The dimension of projectile is 23.10 mm in length and had a hemispherical head with 5.56 mm diameter. The effective material properties used in AUTODYN simulations for this material are shown in Table 3.3. The equation of state of the laminate is linear with a bulk modulus of 15.0 GPa. The laminate is treated as a linear elastic material. The sandwich panel consists of thin orthotropic facesheets of thickness h = 3 mm and isotropic crushable polymeric aluminium core of thickness H = 27 mm. 3.5 Failure Theory For a composite laminate, the Tsai-Hill Failure criteria are applied. Then, for the projectile, it is consider as rigid body. 3.6 Geometry Consider the composite sandwich panel shown in Figure 3.4. The core of the sandwich panel and the rigid projectile were created using *Part. The reference node for the rigid projectile was defined at the bottom of the projectile. The mass of the projectile was assigned automatically by the software 3.7 Material Properties Table 3.2 Material properties of steel projectile Properties Value Reference Density (g/cm3) 7.9 Bulk Modulus (GPa) 200 Shear Modulus (GPa) 90 Yield Stress (MPa) 200 Ultimate Strain 0.4 Erosion Strain 3.0 Table 3.3 Material properties of carbon fiber Properties Value E1 (GPa) 68.5 E2 (GPa) 68.5 E3 (GPa) 9 G12 (GPa) 3.7 v12 0.11 Xt (MPa) 860 Xc (MPa) 795 Yt (MPa) 860 Yc (MPa) 795 St (MPa) 98 1 (kg/m3) 1430 f 0.02 c (MPa) 60 Table 3.4 Mechanical properties of aluminium honeycomb core (Boyer et al., 1991) Properties Value Density (kg/m3) 77 Young Modulus (MPa) 69000 Poissons Ratio 0.33 Shear Modulus (MPa) 25000 Shear Strength (MPa) 120 3.8 Analysis Type An ANSYS AUTODYN Dynamic Explicit type analysis was performed for a time period of 0.15 ms. Non-linear geometry was switched on. All the required outputs such as displacements, velocities and stresses were defined in this module. 3.9 Mesh In finite element analysis, it is preferred to create a mesh with the least number of elements to keep analysis time reasonable while still getting accurate results. The facesheets and core were separate to get a very fine mesh towards the center of the sandwich structure. A biased ratio of 8.5 with 75 elements was defined in the first region of the panel and uniform mesh of 30 elements was defined in the second region. The facesheets had 2 elements through the thickness and the core had 25 elements. Both facesheets and core had default hourglass control and default distortion control. 3.10 Contact, Boundary Conditions The fixed boundary condition (transverse and radial velocity equal to zero) is applied on the outer boundary of the laminate. The velocity of the projectile is V0 = 287 m/s. 3.11 Simulation Analysis This simulation was performed using the Lagrange processor with erosion. Another approach available within AUTODYN is the SPH (Smooth Particle Hydrodynamics) solver wherein a gridless Lagrangian technique is used. Figure 3.9 are shown about the running-in-progress in simulation. Another figure of the simulation progress are shown at Appendix B CHAPTER 4 RESULT AND DISCUSSION 4.1Introduction This chapter is the one that showed all the actual experiment results that previous done and simulated results using ANSYS AUTODYN. The simulations that have been do by using Lagrange method. Comparison was done between the results and actual experiment result to see whether simulation results agreed well with the actual penetration done by Wan Awiss experiment. Data for penetration test were presented afterwards. 4.2Actual Penetration/Firing Test Results These are the data sheets of actual test handle by Wan Awis at 600m closed shooting range at STRIDE. Table 4.1 presents a Summary Penetration Test for Round 5.56mm Steel Core, the profile of specimen used and basic criteria for 5.56mm bullet for this penetration test. Results from this lot size of 5.56 mm bullets are shown in Table 4.2. This data will be compared with the simulated results. Table 4.1 Actual firing condition BALLISTIC IMPACT TEST Sample Hard Panel Test weapon 5.56 mm, 9 mm Test Gun Sample Type Sandwich Panel Shooting Distance 10m (honeycomb) and 5m (carbon fiber) Sample Size (mm) 100 x 100 x 3.3 Temperature 29.3C 31C Ammunition Calibre 5.56 45 mm Rel. Humidity 88% -93% Type of Projectile: FMJ (M855) Steel Core Shooting Angle: 0 obliquity Table 4.2 Test result on composite sandwich structure with 5.56 mm Caliber Range Type of specimen Depth of Penetration Entry diameter Exit diameter Entry Velocity Exit Velocity m mm mm mm m/s m/s 5.56mm 20 Composite 33.1 5.5 6.8 287 220.67 4.3 Simulation Results by ANSYS AUTODYN The simulation results were compared with the experimental ones to validate the finite element model. The variables selected to validate the numerical model were the residual velocity, the ballistic limit, and the contact time. The disadvantage of the experimental impact tests is the limited information concerning the development of the projectile during the impact. The experimental tests provided information only about the velocity of the projectile before the impact over the front skin and after the perforation of the back skin. However, the finite element model showed the progression of the projectile while it was crossing through the sandwich plate. Fig. 4.6 shows the progression of the projectile velocity during the impact (Vimp = 287 m/s). There are some pictures to show the results for this observation on penetration effect on specimen using ANSYS AUTODYN. The pictures was attached at the Appendix B. Simulation impact observations were done on projectiles back view, projectiles front view, and projectiles side view. The simulated results produced by ANSYS AUTODYN were done regarding difference parameters and values against time. The simulated results were presented in form of graph related to parameters specified. 4.3.1Residual Velocity The progress of the velocity shown in Figure 4.6 is representative of each impact. Plotted graphs were extracted from the same node in this simulated analysis. There are three different trends corresponding to the three components of the sandwich (front skin, core, and back skin). In the first region, the composite front skin caused a sudden drop in velocity at the beginning of the impact event, so that the projectile reached the honeycomb core at a velocity of nearly 250 m/s. Secondly, the velocity remained almost constant as the projectile went through the honeycomb core, when the projectile reached the back skin, its velocity was nearly 240 m/s. In the back skin, a new drop in velocity was observed for a residual velocity of over 210 m/s. 4.3.2 Energy Absorbed The projectile lost 46% of its impact kinetic energy, front and back skins absorbed 46% and 41% of the absorbed energy, respectively, and the honeycomb core absorbed 13%. This analysis was made on each numerical test, calculating the energy absorbed by the three components of the sandwich plate. Figure 4.8 specified the relation of absorbed energy against impact velocity. The skins were the main factor responsible for the energy absorption, while the energy absorbed by the honeycomb core was lower. The percentage of the energy absorbed by each component was almost constant for impact velocities higher than 250 m/s: the front skin absorbed 45%, back skin 40%, and core 15% of the absorbed energy by the composite panel (refer Figure 4.7). However, when the impact velocity was near the ballistic limit, the front skin absorbed most of the impact energy so that the projectile reached the back skin at a low-velocity. Thus, the energy absorbed by the back skin was reduced. The energy needed to break high strength carbon-fibres is very high, so the projectile underwent a sudden lost of kinetic energy when it penetrated a composite skin. The main energy-absorption mechanism of the honeycomb core was the plastic strain of the aluminium walls. The experimental tests indicated that the region of the honeycomb over which the projectile impacted had no influence on the results. The energy needed to deform a thin-walled cell of aluminium is very low, so the projectile crossed the honeycomb core with no major loss of kinetic energy. 4.3.3 Depth of Penetration Figure 4.9 shown the graph of displacement against time. The displacement (depth of penetration) is on specimens element that experienced the contact with 5.56 bullet projectile. Relation between those parameters was clearly explained by the above graph (refer Figure 4.9). The depth of penetration is increased by the time of penetration. The maximum displacement is about 3.3 cm which is equivalent to specimens thickness. 4.3.4 Contact Time Another analysis was done to see relation about contact time against the impact velocity (refer Figure 4.10). The contact time was determined as the time between the contact of the projectile with the front skin and the immediate at which the projectile fully penetrated the sandwich plate. 4.4 Velocity (mm/s) Against Time (s) Analysis The value of energy absorb during penetration can be calculated by using this formula Eabsorbed=12MprojectileVin2-Vout2 So, the value for impact velocity for simulated penetration test is 287m/s and value for after impact velocity is around 210 m/s (Figure 4.6) Eabsorbed=120.001782872-2102=34.06J The calculated value of energy absorbed during penetration for the front skin is equivalent with the value in the graph shown. (Figure 4.8) 4.5 Ballistic Limit The ballistic limit was defined as the minimum impact velocity required for the projectile to completely penetrate the sandwich plate. From the model, the ballistic limit calculated was 147 m/s. The experimental ballistic limit estimated was 139 4.2 m/s, by fitting the equation of Lambert et al., 1976 to the residual velocity versus impact velocity curve. A comparison of the results from the numerical model and the experimental test gave a difference of 6% in the ballistic limit. 4.6 Discussions The analysis done were clearly told us some methodology used on findings all required results about penetration test for 5.56 mm bullet projectile to the composite sandwich structure with honeycomb core. The value for each method that was performed based on equation involving simulated result. Table 4.3 contains the comparison between actual and simulation analysis (FEA) regarding the value of residual velocity, and amount of energy absorbed. This table could be highlighted as the final results for this final year degree project on topic Modeling of Sandwich Structure with Honeycomb Core Subjected to High Velocity Impact. Table 4.3 Table of results Data Source Impact velocity (m/s) Residual velocity (m/s) Energy Absorb (J) Actual test 287 220.67 34.06 Simulation Result 287 210 34.58 Percentage of error between results can be calculated using normal method used in many analyses. This percentage error value is very important in order to prove that the simulation software suggested for FEA in this research is reliable to conduct further study on this research in the future. A large difference of error indicates that the simulation doesnt meet it purpose and objective for this research. Error = [(findings actual) / actual] 100% So, based on this formula we can calculate percentage of errors (Eq 4.3) Simulation Results (Residual Velocity) Error = [(210 220.67)] / 220.67 100% = 4.84% Simulation Results (Energy Absorbed) Error = [(34.58- 34.06)] / 34.06 100% = 1.53% The percentage errors calculated were presented in Table 4.4. As we can clearly see, the percentage of error is in an acceptable range. The objectives for this research are relevant and proven scientifically using finite element analysis and engineering methods. Table 4.4 Percentage errors compare to actual penetration test Task Simulation Result (Residual Velocity) Simulation Result (Energy Absorbed) Percentage Error Between Actual Test and Simulation Analysis (%) 4.84 1.53 CHAPTER 5 CONCLUSIONS AND RECOMMENDATIONS 5.1 Conclusions In this study the perforation of composite sandwich panels subjected to high-velocity impact was analyzed using a three dimensional finite element model implemented in ANSYS AUTODYN. Experimental impact tests were carried out to validate the numerical model. Good agreement was found between numerical and experimental results; in particular, the numerical simulation was able to predict the energy absorption of the sandwich panel with a difference of 1.53% and the residual velocity of the sandwich panel with a different of 4.84%. The influence of both skins and the core in the energy-absorption capabilities of the sandwich panel was studied in a wide range of impact velocities. Most of the impact energy was absorbed by the skins. For impact velocities above 600 m/s, approximately 45% of the impact energy was absorbed by the front skin and 40% by the back skin. For impact velocities close to ballistic limit, the front skin absorbed almost the 60% of the energy. On the opposite, the honeycomb core absorbed between 10 and 20% of the impact energy by plastic strain, at all the impact velocities analyzed. Also, the energy-absorption mechanisms in both skins and the core were studied. The main mechanism in the skins was fibre breakage whereas in the core the mechanism was the plastic deformation of the aluminium wall. Both in the skins and the core, the damage was concentrated in a small area around the impact point.

Essay Writing - Focus Your Ideas By Using Themes

Exposition Writing - Focus Your Ideas By Using ThemesWhen composing an article, the essayist should center their thoughts by talking about the central matters first. The article is an impression of the author's perspectives on a particular issue. The article ought to have one fundamental thought that separates it from the various thoughts in the exposition. On the off chance that the author neglects to introduce a solitary thought in the paper that is not the same as the other article thoughts, the exposition won't have the option to win the peruser's attention.Essays are supposed to be immediate and clear, so the essayist should focus on their subjects before they proceed onward to the following theme. The most ideal approach to compose an exposition is to choose the principle thought first. The article at that point turns out to be clear and to the point. In the event that the author can't concoct a smart thought for the exposition, the person can move onto the following subject. T his technique is a lot simpler on the peruser's eyes.Writing the exposition is certifiably not a basic assignment, particularly if the author isn't open to composing papers. The author should be loose and centered around what they are composing. It is additionally essential to concentrate on the focal thought of the paper. While composing the exposition, the author ought to abstain from taking a gander at different pieces of the paper.To keep the peruser's consideration on the fundamental thought, the essayist ought to write in a fascinating way. It is an unquestionable requirement that the paper doesn't drag. There are two sorts of papers: topical and non-topical. The previous is the sort of article that has a few sections that identify with a specific subject, while the last kind has just a single part that discussions about the subject. Since the subject of the article is the one that the author is focusing on, it is significant that the author writes in a conversational tone.One thing that can assist the author with focusing regarding the matter is to utilize representations and analogies to help the author when composing the paper. A few perusers may discover this work on exhausting and dull. So the author needs to concentrate on the subject in the exposition. When composing a proposition articulation, the author should be exceptionally cautious about spelling and grammar.Many understudies don't have the foggiest idea how to spell or intersperse appropriately, so the essayist needs to furnish them with tips on these things. It isn't that hard to have the option to edit and alter a paper, yet numerous understudies don't be able to alter their own work. They rely upon their educators to peruse and address their essay.Since the article is an impression of the author's musings, it is significant that the paper stays novel. Numerous understudies neglect to compose an elegantly composed paper since they come up short on the aptitudes to compose an article. The author ought to recollect that they can pick up the aptitudes expected to compose a paper with practice.Essays are significant and it is significant that the essayist thinks of one well. An exposition that appears to be being exhausting and dry is unquestionably a let down for the peruser. The most ideal approach to compose an exposition is to guarantee that the subject of the paper is predictable all through the article. In the event that the author is steady with the topic, the peruser will have the option to track with effectively and the paper will be viewed as a perfect work of art.

The Lively Art of Writing on Essay Topics

The Lively Art of Writing on Essay TopicsTo write effectively on essay topics, it is necessary to be aware of the lively art of writing. The art of writing is a form of expression that encourages your audience to read what you have written and to think about what you are writing.For this reason, it is important to use relevant and useful sources, a few good keywords and to be as brief as possible. This method encourages a reader to keep the ideas that you convey in his mind. Of course, there are many aspects to this idea but you can't really emphasize the importance of a concise style without mentioning its relevance to writing on essay topics.The most important aspect of the lively art of writing on essay topics is to provide information that is valuable and easy to understand. This implies not only providing facts but also providing ideas in a way that is easy to understand.The next component of the lively art of writing on essay topics is the idea of staying within the limits of k nowledge. If you are writing on a topic that you don't fully understand, you might end up making an error that you will be unable to correct because you don't have the adequate knowledge. You should not be afraid to discuss questions or doubts you may have in order to avoid accidentally committing an error.Sometimes, the best way to avoid an error is to avoid repeating it. Using example sentences when quoting a passage from a book, article is helpful. It is a good idea to use detailed sentences when summarizing the main points of the essay.Sometimes, it is difficult to avoid using a quotation because it is easier to repeat it than to repeat the author's words. You should also avoid having a sentence that is too long.An important component of the lively art of writing on essay topics is the use of a conversational tone. This means that you need to stay friendly with your readers and to take care of their ideas. Your goal is to be able to relate to your readers and to make them feel t hat you understand what they are going through.Finally, the vibrant aspect of the lively art of writing on essay topics is the emphasis on writing. In other words, you must write more than once in order to convince your audience of what you are trying to convey.

How to Find the Right Persuasive Essay Topics About School

<h1>How to Find the Right Persuasive Essay Topics About School</h1><p>Have you at any point given any idea to the numerous convincing article themes about school you can expound on? The watchword there is 'composing' and not exclusively are these themes energizing as they can be, yet they offer a lot of adaptability with regards to the substance. While you will consistently need to concoct some unique themes that are considerable, the truth of the matter is you will have a boundless number of choices with regards to subjects about school. We should examine the subjects that you can compose about.</p><p></p><p>The first thing you have to acknowledge when you are taking a shot at composing convincing article themes about school is that the 'how' of your story ought to be your essential core interest. This implies you can start to get into the quick and dirty of what befell your youngster and how it affected their life. At the point when you can assemble however much data as could be expected about how your kid's school was included, the theme turns out to be all the more fascinating in light of the fact that it's more personal.</p><p></p><p>Another way you can compose enticing exposition subjects about school is to start by covering occasions that occurred nearby. You can do this by discussing what befell your kid when the individual in question was nearby, including discussions that were hung regularly. This assists with giving you a thought of what the understudy's life resembled when they were taken a crack at school. It additionally gives you a thought of what the understudies thought of your kid in general.</p><p></p><p>If you are searching for powerful article subjects about school, you can likewise consider expounding on the books that were expounded on your kid. There will be a lot of books expounded regarding any matter, yet there will be sure classes that are more well known than others. For instance, wrongdoing and anticipation are certainly the most mainstream and will in general sell better. So by expounding regarding these matters, you offer yourself the chance to concoct subjects that probably won't appear as new yet are going to sell better.</p><p></p><p>Writing about an occasion that occurred while your kid was still in school can likewise be a decent method to compose powerful articles. Consider doing an exposition about the football match-up that your kid went to that your youngster joined in and how you feel about the group. When you've had the option to gather however much data as could reasonably be expected about your youngster's time at school, you will have the option to give the realities to compose a paper dependent on. This assists with giving you a thought of the point of view you can present to the reader.</p><p></p><p>Writing about something that occurred while your youngste r was an adolescent can likewise function admirably. Take a gander at the different web based life destinations that youngsters use to fabricate their image. You might need to investigate a portion of the more famous long range interpersonal communication locales, for example, Facebook and Twitter.</p><p></p><p>Finally, expounding on your experience training your youngster in school can likewise be a generally excellent approach to compose enticing article points about school. Recollect that your point of view should stay as target as conceivable with regards to composing. On the off chance that your perspective on the world is one that is sifted through your involvement in your own youngsters, it can assist with bringing that see into your own understanding as a parent.</p><p></p><p>Using the above strategies can assist you with finding themes that are both unique and useful when you are attempting to compose enticing paper subjects a bout school. These will be subjects that you ought to have the option to think of quickly.</p>

All About Compare and Contrast Essay Samples 4th Grade

<h1>All About Compare and Contrast Essay Samples fourth Grade </h1> <h2> The Number One Question You Must Ask for Compare and Contrast Essay Samples fourth Grade</h2> <p>Usually felines would prefer not to sit with you, and a couple of them despise being held. Because you're given complete opportunity what you will compose, doesn't demonstrate that you should compose calmly without giving any evidence. Or on the other hand you're gambling of getting hindered by awful comprehension of your subject and failure to think of the thought as it should be. Another explanation is that they're all around known. </p> <h2>The Do's and Don'ts of Compare and Contrast Essay Samples fourth Grade </h2> <p>The absolute first thing you should do is distinguish the kind of thoroughly analyze paper which you're taking care of. Your ability to create an incredible paper is reliant on organizing a perfect blueprint. A general number of passages in the b ody area is reliant on a scope of angles or rules you should talk about. There should be up to three supporting focuses in each and every body paragraphs.</p> <h2>Why Almost Everything You've Learned About Compare and Contrast Essay Samples fourth Grade Is Wrong </h2> <p>As soon as you have distinguished the 2 subjects, choose which comparability and distinction to focus on. When making examinations or complexities, it's basic to be clear what models you're utilizing. Rather, you may endeavor to think about how apples and oranges are fairly comparable. In such situation, you'll have a general topic and you should do a tad of exploring to discover two subjects to investigate. </p> <h2> The Battle Over Compare and Contrast Essay Samples fourth Grade and How to Win It</h2> <p>Students who exceed expectations recorded as a hard copy about such complex point could have a chance to be selected into some of the absolute best Art colleges to t hink of their capacities and ability. On the off chance that you get a subject that you aren't acquainted with, at that point select a theme that starts an enthusiasm to you. It's entirely expected to be alloted to make papers in each zone of study, not exactly when taking a sythesis program. After the article requests an enormous number of ways to deal with investigate, it's critical to see how to compose it effectively with an end goal to ensure simple perusing. </p> <p>Each circle speaks to one specific subject. The point you select ought to have loads of data for you to use in your article. Both have a huge swath of costly, exquisite cafés alongside a comparable number of worldwide and popular stores. </p> <h2>What Compare and Contrast Essay Samples fourth Grade Is - and What it Is Not </h2> <p>Begin with the subject title and an exceptionally successful snare to create the peruser intrigued and notice a detail related with the topic. You may then pick a subject from any play or book that you may have perused during the class of the class. On-line help from master authors will assist you with sparing you an a lot of time. How about we take a gander at a genuine model. </p> <p>Writing an article utilizing this configuration should be easy to achieve, yet the theme you settle on impacts the degree of your exposition. Prior to composing a near exposition, you initially need to arm yourself with the information you require. When you have settled on a subject, you will begin composing your paper. Composing tips will permit you to sort out the diagram and create the exposition. </p> <p>There are numerous conceivable look into article subjects, and various them are hard to perform. There are also a few exercises that you should consistently remember before you begin composing your article. Remember, much like in various types of papers, careful research is incredibly applicable here, as well. To begin with, similarly as some other piece of scholarly composition, a relative paper should have an objective. </p> <p>You can repeat your theory proclamation and point out some of the contentions utilized over the entire exposition that backs it up. You additionally need to utilize progress words all through your paper and end it utilizing an end sentence. An end shouldn't be excessively long. Continuously remember that your decision should just rehash realities you've just investigated. </p> <h2> Compare and Contrast Essay Samples fourth Grade and Compare and Contrast Essay Samples fourth Grade - The Perfect Combination </h2> <p> ;Another viable thought is to ask a family member or an amigo to peruse the paper and see whether they can detect a few mix-ups. It is a need on the off chance that you might want your composing methodology to be simpler and clear. The following activity is to start composing. </p>

Students Need Research Paper Topics in India

<h1>Students Need Research Paper Topics in India</h1><p>With the rising prominence of research papers, India is beginning to lose its serious edge over nations like China and the US. India has just a bunch of high-performing research labs. To deal with the deficit, Indian establishments are out to gain from one another. India is as yet offering appealing arrangements and motivating forces to colleges so as to draw in new students.</p><p></p><p>There are in excess of ten colleges in India. Every one of them have an elevated level of research capacity. Be that as it may, just not many of them can perform explore on a worldwide scale. In this manner, they need to facilitate their assets so as to manage their rare resources.</p><p></p><p>It is apparent that India needs more research foundations. One of the approaches to assist this circumstance is by giving thoughts and suggestions on explore paper subjects in India.</p ><p></p><p>Ideas on inquire about themes in India may originate from the examination organizations in different nations. Research colleges need to ensure that their understudies begin gaining from look into papers the correct way. It is compulsory for every single new alumni to comprehend that the information on data is the fundamental key for the achievement of a person. All the establishments offering research paper points in India need to consider their own one of a kind understudies who might need to be presented to look into papers as a major aspect of their examinations. Understudies should be prepared from an early age.</p><p></p><p>The subject of research papers on India is similarly significant as the point on examine papers on China and the US. Both these nations have the best research limits, yet they don't give enough consideration to their understudies who need to find out about the most recent research points in their own na tions. They don't give enough consideration to their understudies and foundations need to bestow great showing materials and educating techniques. The current situation in India is extremely perfect for the understudies to gain from researchers.</p><p></p><p>The rising educational cost rates in India have squeezed the organizations and the college. The understudy needs to concoct inventive plans to give a decent stage to talk about on their exploration papers. The conversation meetings might be directed at a significant expense yet the understudies make certain to be profited by the meeting.</p><p></p><p>There are a great deal of research papers in India which are consistently produced for the understudies. The focal point of a ton of research foundations ought to be to keep themselves in the vanguard of research.</p>

Selecting Good Sports Topics for Research Paper

<h1>Selecting Good Sports Topics for Research Paper</h1><p>When attempting to create a decent research paper, sports subjects are a flat out must. The web has opened up open doors for individuals of all degrees of expertise to communicate.</p><p></p><p>It is an awesome thing that this stage takes into account correspondence to be simpler, yet it additionally presents an open door for the less gifted to think of some troublesome choices with regards to settling on choices on which theme to utilize. A few people incline toward points that include sports to other topics.</p><p></p><p>One method of discovering what subjects you will like best is to discover a companion or relative who is a game fan and ask them what sports themes they see as of intrigue. You would then be able to utilize these as a base for what point to use in your exploration paper. This methodology has the benefit of both giving you and your companion a smart thought of what points you like, yet in addition permits them to get comfortable with the subject that they are talking about so they can assist you with choosing the suitable topic.</p><p></p><p>The initial step is to attempt to learn as much as possible about the games points that you need to expound on. What is the historical backdrop of the game? What is the most significant occasion that happened?</p><p></p><p>Learn as much as possible about the topic with the goal that you can shape sentiments about the topic from realities. That way you will have the option to think of a decent research paper that examines the theme in a significant manner.</p><p></p><p>You ought to likewise attempt to decide whether you are going to concentrate on the occasions that make up the topic. Will you have a conversation on how the matches were dominated? How the groups won?</p><p></p><p>Do you nee d to talk about just games that were well known at once or did you additionally need to take a gander at mainstream yet non-elite athletics? Was the games that existed in the past still famous in the present day?</p><p></p><p>There are a variety of things that you have to know before you attempt to compose a decent research paper about these themes. One approach to ensure that you will have a better than average possibility of creating a respectable paper is to choose a point that you appreciate and that you think will be generally welcomed by your audience.</p>

The United States - 874 Words

The basic explanation of what this compromise was, is basically a package of 5 different bills that the United states Congress passed in 1850. That is not all though, for it is rather more complicated than just being 5 different bills. to further understand the compromise, you need to think back to the slave and free states of our country at this time. Rewind to a year before the compromise, 1849. At this time California had requested to enter the Union. Them entering the Union wasn’t the issue though, rather was the fact that they wanted to enter as a free state. In requesting so they upset the balance between the not so agreeing free and slave states in the U.S senate. The free states were the states in which slavery was illegal. The free states in The United States before 1850, around 1846 were as follows ; Illinois, Indiana, Ohio, Pennsylvania, New York, Michigan, Vermont, New Hampshire, Massachusetts, Rhode Island, Maine, and New Jersey. The slaves states were states in w hich slavery was allowed and at the same time as before were as follows ; Maryland, Delaware, Virginia, Kentucky, North Carolina, South Carolina, Tennessee, Georgia, Florida, Alabama, Mississippi, Missouri, Arkansas, Louisiana, and Texas. As you would be able to guess these states, free and slave, did not agree with each other to begin with. So in California asking to enter the union as a free state would further stir the issues between the two. The impending crisis between the North and South wasShow MoreRelatedThe United States1368 Words   |  6 Pagesthat would affect the actions and history of the United States in the future. According to The Wordy Shipmates author Sarah Vowell, those colonists began the way the United States would be unique and not conform to what other countries do and this is shown in the actions the United States has taken throughout its history. Instead of conforming, most of the goals of the United States have been to allow other nations to conform to the United States’ image. Yet, those colonists who were being sent offRead MoreThe United States915 Words   |  4 PagesCheyanne Sitch Pod Cast 4 â€Å"The United States we stand at this moment at the summit of this world† –Winston Churchill. 1940 was the last year before the United States fully engaged themselves into the war. At this time the US was dealing with its 11th year of the depression. 1/7th of the population was unemployed at this time. This meant that nearly 14% of the workforce was unemployed in 1940 compared to the average of 17% in 1930. During this time the federal government did not maintain a povertyRead MoreThe United States949 Words   |  4 PagesIn the 1900’s, the United States has expanded their trading routes with oriental lands such as the Philippines. A striking speech, delivered by a first-term republican senator, Albert J. Beveridge, strongly advocates the annexation of the Philippine islands to the USA. The most striking points about the senator’s speech are his three poorly thought out reasons justifying Americans to colonize the Philippines, which were religion, pr ofit, and race. The reason was for the American imperialism, whichRead MoreThe United States1489 Words   |  6 Pages The Oxford Dictionary defines Wisdom as the quality of having experience, knowledge, and good judgment. Looking over the history of the United States, it can be argued that as a nation, the U.S has grown wiser over the years. This due to the various obstacles that they’ve overcome. Many of which were conflicts that arose with other countries and, at one point, within itself. 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The Declaration of Independence states that all Americans are entitled to â€Å"Life, Liberty, and Property,† and while, in the modern era, it is widely believed that educations is part of those rights, this was not always the case. For example, the case that gave rise to one of the most infamousRead MoreThe United States995 Words   |  4 PagesIt has been a well-known fact that the United States has been a model example for the world since its inception. Through the course of time, the influence of the United States has slowly grown. The roots of this influence lie within the core of the United States government and have since branched out into language, the arts, food, and more (Zimmerman). While these aforementioned examples have largely come around in the past century, the origin of this process was first defined in around 1800 (Dictionary)Read MoreThe United States1489 Words   |  6 PagesIntroduction Over the centuries, the United States has developed a rich political culture which includes a number of center principles and standards that act as the foundation of American democracy. Not all Americans embrace similar perspectives, of course, but the vast majority agree and accept these collective values. The ideals of equality, unity, liberty, democracy, diversity and individualism are deeply a part of the institutional framework of society. Political disputes are inclined toRead MoreThe United States859 Words   |  4 Pagescapital or income for people, feeding families and providing fresh produce based on organic gardening and micro-farming projects. According to Smalls the unemployment rate in South Africa is around 25%, which is significantly higher compared to the United States unemployment of 5.4%. So, if people who are unemployed are willing to put in the hard work than, Abalimi Bezekhaya is a good fit for them. In particular, women typically do more of the domestic care like cooking and so being a part of the AbalimiRead MoreThe United States1980 Words   |  8 PagesThe United States continues to be in the spotlight, especially during an election year and specifically when it comes to immigration. Most recently I was intrigued by an article I read, titled â€Å" Articleâ€Å"that talked about the unprecedented number of unaccompanied children crossing our U.S. Borders illegally. What began as an intriguing subject that sparked my interest evolved into a desire to expand my knowledge on the subject of immigration, particularly these unaccompanied children crossing our

The Unexpected Truth About Expository Essay Samples from California High School Proficency Exam

<h1>The Unexpected Truth About Expository Essay Samples from California High School Proficency Exam </h1> <p>The ability to share something from your head is totally a conceivable demonstration. This time might be utilized for anything a young individual needs, yet as far as anyone knows they will go through it gaining cash to cover training, or looking to figure out what direction of life appears to be generally engaging. In spite of the fact that it's anything but difficult to concur with the writer of this book when she expresses that passing is fundamental in the life expectancy of any species to ensure its endurance, people don't generally think that its easy to acknowledge. Steps to sparing Earth. </p> <p>In school, it's an unavoidable truth that you will be mentioned to compose something about a theme which at times you're so anxious to wrap up. At the point when you buy explanatory article on the web, you're not running any dangers. Verify you co mprehend your subject. Obviously, the particular points won't be rehashed, yet chances are acceptable you will see something fundamentally the same as. </p> <p>If you're probably going to compose this sort of paper again and again, you need to realize how to create a decent one. Tell the benefits of having an assortment, and clarify how somebody can begin to grow their very own lot. People like to gather and show things which have wistful worth or particular intrigue. Instruction is a significant effect of what sort of way of life you and your relatives will live. </p> <p>The not really positive feature of on-line instruction is that it may make some protracted memories to discover criticism. The creator exhibits skillful imperative of sentence structure and word decision however there are several unbalanced expressions (To me when you look at the advantages and detriments, beginning school for an early time is better''), they don't confound meaning. Clearly, among the fundamental advantages of such a method of training is you may learn at your own pace. In spite of the fact that there are a couple of disservices to such an arrangement of studyingdifficulties with task checks, for instance, or bias against online certificatesit is as yet an extraordinary decision for any individual who might want to find out additional. </p> <h2>Expository Essay Samples from California High School Proficency Exam Secrets </h2> <p>By composing some of the papers from the following rundown, you're see what level of composing is required to finish your capability test. The past sentence is a sudden spike in demand for sentence as well. Know that the composing task on the Language subtest must be taken along with the numerous decision inquiries on this subtest. Pick the appropriate jargon. </p> <p>Upon completing a class, you will get an advanced declaration affirming you've effectively tuned in to a course of talks on a specific control. Additionally, remember that in certain countries, an advanced authentication is anything but a genuine verification of your capacities. However even idea the test comprises of issues from lower grades it even offers you a superior likelihood of passing by have the necessities extremely permissive to breeze through the two segments of the assessment. It is given in English as it were. </p> <h2> Rumors, Lies and Expository Essay Samples from California High School Proficency Exam </h2> <p>When you're in secondary school, it's clear that you're anticipated to do a couple reviews and ventures which require pen and paper. Article composing gives loads of advantages to understudies in the academe. Instruction is crucial as it gives us the materials to make our fantasies work out as expected. Basic understudies need to form informative expositions every once in a while. </p> <p>Should you need interpretive paper help, or descriptive article help, make sure to address us now, and we're going to start taking a shot at informative exposition help. On the off chance that you require informative paper help and don't have the foggiest idea about the best places to find explanatory article help and the best approach to create a fabulous descriptive exposition, we'll have the option to help you. Composing a secondary school exposition in the event that you have the tips about how to do article viably. An exposition must be clear and fair-minded. </p> <p>Odds are acceptable that precisely the same themes won't be rehashed and you'll wind up composing a paper that responds to an alternate inquiry. It adequately tells your peruser which you have pondered your subject from a few points! The finish of paper, that is the past part, ought to turn into your chance to acquire your perusers comprehend the whole purpose of your subject. Compose a paper clarifying the means which you should follow in order to apply for employment.</p> <p>Starting off with a generous event, disclosure, or study will flexibly you with more focuses in accurate research moreover. However, the most incessant is the five-passage methodology. </p>