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Continuum Mechanics Modelling Of Fibre Reinforced Polymer Composites

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Multi Scale Continuum Mechanics Modelling of Fibre Reinforced Polymer Composites

Multi Scale Continuum Mechanics Modelling of Fibre Reinforced Polymer Composites Book
Author : Wim Van Paepegem
Publisher : Woodhead Publishing
Release : 2020-11-25
ISBN : 0128189851
Language : En, Es, Fr & De

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Book Description :

Multi-scale modelling of composites is a very relevant topic in composites science. This is illustrated by the numerous sessions in the recent European and International Conferences on Composite Materials, but also by the fast developments in multi-scale modelling software tools, developed by large industrial players such as Siemens (Virtual Material Characterization toolkit and MultiMechanics virtual testing software), MSC/e-Xstream (Digimat software), Simulia (micromechanics plug-in in Abaqus), HyperSizer (Multi-scale design of composites), Altair (Altair Multiscale Designer) This book is intended to be an ideal reference on the latest advances in multi-scale modelling of fibre-reinforced polymer composites, that is accessible for both (young) researchers and end users of modelling software. We target three main groups: This book aims at a complete introduction and overview of the state-of-the-art in multi-scale modelling of composites in three axes: • ranging from prediction of homogenized elastic properties to nonlinear material behaviour • ranging from geometrical models for random packing of unidirectional fibres over meso-scale geometries for textile composites to orientation tensors for short fibre composites • ranging from damage modelling of unidirectionally reinforced composites over textile composites to short fibre-reinforced composites The book covers the three most important scales in multi-scale modelling of composites: (i) micro-scale, (ii) meso-scale and (iii) macro-scale. The nano-scale and related atomistic and molecular modelling approaches are deliberately excluded, since the book wants to focus on continuum mechanics and there are already a lot of dedicated books about polymer nanocomposites. A strong focus is put on physics-based damage modelling, in the sense that the chapters devote attention to modelling the different damage mechanisms (matrix cracking, fibre/matrix debonding, delamination, fibre fracture,...) in such a way that the underlying physics of the initiation and growth of these damage modes is respected. The book also gives room to not only discuss the finite element based approaches for multi-scale modelling, but also much faster methods that are popular in industrial software, such as Mean Field Homogenization methods (based on Mori-Tanaka and Eshelby solutions) and variational methods (shear lag theory and more advanced theories). Since the book targets a wide audience, the focus is put on the most common numerical approaches that are used in multi-scale modelling. Very specialized numerical methods like peridynamics modelling, Material Point Method, eXtended Finite Element Method (XFEM), isogeometric analysis, SPH (Smoothed Particle Hydrodynamics),... are excluded. Outline of the book The book is divided in three large parts, well balanced with each a similar number of chapters:

Mechanics of Particle and Fiber Reinforced Polymer Nanocomposites

Mechanics of Particle  and Fiber Reinforced Polymer Nanocomposites Book
Author : Sumit Sharma
Publisher : John Wiley & Sons
Release : 2021-02-22
ISBN : 1119653630
Language : En, Es, Fr & De

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Book Description :

Learn to model your own problems for predicting the properties of polymer-based composites Mechanics of Particle- and Fiber-Reinforced Polymer Nanocomposites: Nanoscale to Continuum Simulations provides readers with a thorough and up-to-date overview of nano, micro, and continuum approaches for the multiscale modeling of polymer-based composites. Covering nanocomposite development, theoretical models, and common simulation methods, the text includes a variety of case studies and scripting tutorials that enable readers to apply and further develop the supplied simulations. The book describes the foundations of molecular dynamics and continuum mechanics methods, guides readers through the basic steps required for multiscale modeling of any material, and correlates the results between the experimental and theoretical work performed. Focused primarily on nanocomposites, the methods covered in the book are applicable to various other materials such as carbon nanotubes, polymers, metals, and ceramics. Throughout the book, readers are introduced to key topics of relevance to nanocomposite materials and structures—supported by journal articles that discuss recent developments in modeling techniques and in the prediction of mechanical and thermal properties. This timely, highly practical resource: Explains the molecular dynamics (MD) simulation procedure for nanofiber and nanoparticle reinforced polymer composites Compares results of experimental and theoretical results from mechanical models at different length scales Covers different types of fibers and matrix materials that constitute composite materials, including glass, boron, carbon, and Kevlar Reviews models that predict the stiffness of short-fiber composites, including the self-consistent model for finite-length fibers, bounding models, and the Halpin-Tsai equation Describes various molecular modeling methods such as Monte Carlo, Brownian dynamics, dissipative particle dynamics, and lattice Boltzmann methods Highlights the potential of nanocomposites for defense and space applications Perfect for materials scientists, materials engineers, polymer scientists, and mechanical engineers, Mechanics of Particle- and Fiber-Reinforced Polymer Nanocomposites is also a must-have reference for computer simulation scientists seeking to improve their understanding of reinforced polymer nanocomposites.

Advanced fibre reinforced polymer FRP composites for structural applications

Advanced fibre reinforced polymer  FRP  composites for structural applications Book
Author : R.M. Guedes,J. Xavier
Publisher : Elsevier Inc. Chapters
Release : 2013-09-30
ISBN : 0128088419
Language : En, Es, Fr & De

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Book Description :

This chapter describes the elastic qualities of advanced fibre-reinforced composites, in terms of characterization, measurement and prediction from the basic constituents, i.e. the fibre and matrix. The elastic analysis comprises applying micromechanics approaches to predict the lamina elastic properties from the basic constituents, and using classical lamination theory to predict the elastic properties of composite materials composed of several laminae stacked at different orientations. Examples are given to illustrate the theoretical analysis and give a full apprehension of its prediction capability. The last section provides an overview on identification methods for elastic proprieties based on full-field measurements. It is shown that these methodologies are very convenient for elastic characterization of anisotropic and heterogeneous materials.

Constitutive Modeling of Nanotube reinforced Polymer Composite Systems

Constitutive Modeling of Nanotube reinforced Polymer Composite Systems Book
Author : Gregory M. Odegard
Publisher : Unknown
Release : 2001
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

In this study, a technique has been proposed for developing constitive models for polymer composite systems reinforced with single-walled carbon nanotubes (SWNT). Since the polymer molecules are on the same size scale as the nanotubes, the interaction at the polymer/nanotube interface is highly dependent on the local molecular structure and bonding. At these small length scales, the lattice structures of the nanotube and polymer chains cannot be be considered continuous, and the bulk mechanical properties of the SWNT/polymer composites can no longer be determined through traditional micromechanical approaches that are formulated using continuum mechanics. It is proposed herein that the nanotube, the local polymer near the nanotube, and the nanotube/polymer interface can be modeled as an effective continuum fiber using an equivalent-continuum modeling method.

Advanced Methods of Continuum Mechanics for Materials and Structures

Advanced Methods of Continuum Mechanics for Materials and Structures Book
Author : Konstantin Naumenko,Marcus Aßmus
Publisher : Springer
Release : 2016-05-12
ISBN : 9811009597
Language : En, Es, Fr & De

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Book Description :

This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.

Continuum Theory of the Mechanics of Fibre Reinforced Composites

Continuum Theory of the Mechanics of Fibre Reinforced Composites Book
Author : A.J.M. Spencer
Publisher : Springer
Release : 2014-05-04
ISBN : 3709143365
Language : En, Es, Fr & De

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Book Description :

Download Continuum Theory of the Mechanics of Fibre Reinforced Composites book written by A.J.M. Spencer, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Advanced Fibre Reinforced Polymer FRP Composites for Structural Applications

Advanced Fibre Reinforced Polymer  FRP  Composites for Structural Applications Book
Author : J Bai
Publisher : Elsevier
Release : 2013-09-30
ISBN : 0857098640
Language : En, Es, Fr & De

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Book Description :

Advanced fibre-reinforced polymer (FRP) composites have become essential materials for the building of new structures and for the repair of existing infrastructure. Advanced fibre-reinforced polymer (FRP) composites for structural applications provides an overview of different advanced FRP composites and the use of these materials in a variety of application areas. Part one introduces materials used in the creation of advanced FRP composites including polyester, vinylester and epoxy resins. Part two goes on to explore the processing and fabrication of advanced FRP composites and includes chapters on prepreg processing and filament winding processes. Part three highlights properties of advanced FRP composites and explores how performance can be managed and tested. Applications of advanced FRP composites, including bridge engineering, pipe rehabilitation in the oil and gas industry and sustainable energy production, are discussed in part four. With its distinguished editor and international team of expert contributors, Advanced fibre-reinforced polymer (FRP) composites for structural applications is a technical resource for researchers and engineers using advanced FRP composites, as well as professionals requiring an understanding of the production and properties of advanced FRP composites, and academics interested in this field. Provides an overview of different advanced FRP composites and the use of these materials in a variety of application areas Introduces materials used in the creation of advanced FRP composites including polyester, vinylester and epoxy resins Explores the processing and fabrication of advanced FRP composites and includes chapters on prepreg processing and filament winding processes

Continuum Mechanics Volume II

Continuum Mechanics   Volume II Book
Author : José Merodio,Giuseppe Saccomandi
Publisher : EOLSS Publications
Release : 2011-11-30
ISBN : 1848263732
Language : En, Es, Fr & De

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Book Description :

The main objective of continuum mechanics is to predict the response of a body that is under the action of external and/or internal influences, i.e. to capture and describe different mechanisms associated with the motion of a body that is under the action of loading. A body in continuum mechanics is considered to be matter continuously distributed in space. Hence, no attention is given to the microscopic (atomic) structure of real materials although non-classical generalized theories of continuum mechanics are able to deal with the mesoscopic structure of matter (i.e. defects, cracks, dispersive lengths, ...). Matter occupies space in time and the response of a body in continuum mechanics is restricted to the Newtonian space-time of classical mechanics in this volume. Einstein’s theory of relativity is not considered. In the classical sense, loading is considered as any action that changes the motion of the body. This includes, for instance, a change in temperature or a force applied. By introducing the concept of configurational forces a load may also be considered as a force that drives a change in the material space, for example the opening of a crack. Continuum mechanics refers to field descriptions of phenomena that are usually modeled by partial differential equations and, from a mathematical point of view, require non-standard knowledge of non-simple technicalities. One purpose in this volume has been to present the different subjects in a self-contained way for a general audience. The organization of the volume is as follows. Mathematically, to predict the response of a body it is necessary to formulate boundary value problems governed by balance laws. The theme of the volume, that is an overview of the subject, has been written with this idea in mind for beginners in the topic. Chapter 1 is an introduction to continuum mechanics based on a one-dimensional framework in which, simultaneously, a more detailed organization of the chapters of this volume is given. A one-dimensional approach to continuum mechanics in some aspects maybe misleading since the analysis is oversimplified. Nevertheless, it allows us to introduce the subject through the early basic steps of the continuum analysis for a general audience. Chapters 3, 4 and 5 are devoted to the mathematical setting of continuum analysis: kinematics, balance laws and thermodynamics, respectively. Chapters 6 and 7 are devoted to constitutive equations. Chapters 8 and 9 deal with different issues in the context of linear elastostatics and linear elastodynamics and waves, respectively, for solids. Linear Elasticity is a classical and central theory of continuum mechanics. Chapter 10 deals with fluids while chapter 11 analyzes the coupled theory of thermoelasticity. Chapter 12 deals with nonlinear elasticity and its role in the continuum framework. Chapters 13 and 14 are dedicated to different applications of solid and fluid mechanics, respectively. The rest of the chapters involve some advanced topics. Chapter 15 is dedicated to turbulence, one of the main challenges in fluid mechanics. Chapter 16 deals with electro-magneto active materials (a coupled theory). Chapter 17 deals with specific ideas of soft matter and chapter 18 deals with configurational forces. In chapter 19, constitutive equations are introduced in a general (implicit) form. Well-posedness (existence, time of existence, uniqueness, continuity) of the equations of the mechanics of continua is an important topic which involves sophisticated mathematical machinery. Chapter 20 presents different analyses related to these topics. Continuum Mechanics is an interdisciplinary subject that attracts the attention of engineers, mathematicians, physicists, etc., working in many different disciplines from a purely scientific environment to industrial applications including biology, materials science, engineering, and many other subjects.

Size Dependent Continuum Mechanics Approaches

Size Dependent Continuum Mechanics Approaches Book
Author : Esmaeal Ghavanloo
Publisher : Springer Nature
Release : 2021-10-16
ISBN : 3030630501
Language : En, Es, Fr & De

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Book Description :

Download Size Dependent Continuum Mechanics Approaches book written by Esmaeal Ghavanloo, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Failure Criteria in Fibre Reinforced Polymer Composites

Failure Criteria in Fibre Reinforced Polymer Composites Book
Author : M. Hinton,P D Soden,A. S. Kaddour
Publisher : Elsevier
Release : 2004-09-14
ISBN : 9780080444758
Language : En, Es, Fr & De

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Book Description :

Fiber reinforced polymer composites are an extremely broad and versatile class of material.Their high strength coupled with lightweight leads to their use wherever structural efficiency is at a premium. Applications can be found in aircraft, process plants, sporting goods and military equipment. However they are heterogeneous in construction and antisotropic, which makes making strength prediction extremely difficult especially compared to that of a metal. This book brings together the results of a 12year worldwide failure exercise encompassing 19 theories in a single volume. Each contributor describes their own theory and employs it to solve 14 challenging problems. The accuracy of predictions and the performance of the theories are assessed and recommendations made on the uses of the theories in engineering design. All the necessary information is provided for the methodology to be readily employed for validating and benchmarking new theories as they emerge. Brings together 19 failure theories, with many application examples. Compares the leading failure theories with one another and with experimental data Failure to apply these theories could result in potentially unsafe designs or over design.

Multiscaling in Molecular and Continuum Mechanics Interaction of Time and Size from Macro to Nano

Multiscaling in Molecular and Continuum Mechanics  Interaction of Time and Size from Macro to Nano Book
Author : G.C. Sih
Publisher : Springer Science & Business Media
Release : 2007-11-29
ISBN : 9781402050626
Language : En, Es, Fr & De

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Book Description :

For the first time, a book is being edited to address how results from one scale can be shifted or related to another scale, say from macro to micro or vice versa. The new approach retains the use of the equilibrium mechanics within a scale level such that cross scale results can be connected by scale invariant criteria. Engineers in different disciplines should be able to understand and use the results.

Computational Fluid and Solid Mechanics 2003

Computational Fluid and Solid Mechanics 2003 Book
Author : K.J Bathe
Publisher : Elsevier
Release : 2003-06-02
ISBN : 9780080529479
Language : En, Es, Fr & De

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Book Description :

Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics. Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design. The eight tasks are: The automatic solution of mathematical models Effective numerical schemes for fluid flows The development of an effective mesh-free numerical solution method The development of numerical procedures for multiphysics problems The development of numerical procedures for multiscale problems The modelling of uncertainties The analysis of complete life cycles of systems Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features Bridges the gap between academic researchers and practitioners in industry Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis

Engineering Mechanics of Fibre Reinforced Polymers and Composite Structures

Engineering Mechanics of Fibre Reinforced Polymers and Composite Structures Book
Author : J. Hult,F.G. Rammerstorfer
Publisher : Springer
Release : 2014-05-04
ISBN : 3709127025
Language : En, Es, Fr & De

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Book Description :

The book aims at giving an overview of current methods in engineering mechanics of FRP components and structures as well as hybrid components and structures. Main emphasis is on basic micro and macro mechanics of laminates. Long as well as short fibre composites are studied, and criteria for different kinds of rupture are treated. Micromechanical considerations for material characterization and mechanisms of static ductile and brittle rupture are studied, as well as FRP structures under thermal and dynamic loading programs. Optimum design and manufacture situations are described as well. The book makes designers familiar with the opportunities and limitations of modern high quality fibre composites. Practical engineering applications of the described analytical and numerical methods are also presented.

Composite Reinforcements for Optimum Performance

Composite Reinforcements for Optimum Performance Book
Author : Philippe Boisse
Publisher : Woodhead Publishing
Release : 2020-11-02
ISBN : 0128190116
Language : En, Es, Fr & De

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Book Description :

Composite Reinforcements for Optimum Performance, Second Edition, has been brought fully up to date with the latest developments in the field. It reviews the materials, properties and modelling techniques used in composite production and highlights their uses in optimizing performance. Part I covers materials for reinforcements in composites, including chapters on fibers, carbon nanotubes and ceramics as reinforcement materials. In Part II, different types of structures for reinforcements are discussed, with chapters covering woven and braided reinforcements, three-dimensional fibre structures and two methods of modelling the geometry of textile reinforcements: WiseTex and TexGen. Part III focuses on the properties of composite reinforcements, with chapters on topics such as in-plane shear properties, transverse compression, bending and permeability properties. Finally, Part IV covers the characterization and modelling of reinforcements in composites, with chapters focusing on microscopic and mesoscopic approaches, X-ray tomography analysis and modelling reinforcement forming processes. With its distinguished editor and international team of contributors, Composite Reinforcements for Optimum Performance, Second Edition, is an essential reference for designers and engineers working in the composite and composite reinforcement manufacturing industry, as well as all those with an academic research interest in the subject. Discusses the characterization and modeling of reinforcements in composites, focusing on such topics as microscopic and mesoscopic approaches, X-ray tomography analysis, and modeling reinforcement forming processes Provides comprehensive coverage of the types and properties of reinforcement in composites, along with their production and performance optimization Includes sections on NCF (non-crimp fabrics), natural fiber reinforcements, tufting composite reinforcements, sustainability, multiscale modeling, knitted reinforcements, and more

Creep and Fatigue in Polymer Matrix Composites

Creep and Fatigue in Polymer Matrix Composites Book
Author : R M Guedes
Publisher : Elsevier
Release : 2010-11-29
ISBN : 0857090437
Language : En, Es, Fr & De

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Book Description :

Creep is the tendency of materials to deform when subjected to long-term stress, particularly when exposed to heat. Fatigue phenomena occur when a material is subjected to cyclic loading, causing damage which may progress to failure. Both are critical factors in the long-term performance and reliability of materials such as polymer matrix composites which are often exposed to these types of stress in civil engineering and other applications. This important book reviews the latest research in modelling and predicting creep and fatigue in polymer matrix composites. The first part of the book reviews the modelling of viscoelastic and viscoplastic behaviour as a way of predicting performance and service life. Part two discusses techniques for modelling creep rupture and failure. The final part of the book discusses ways of testing and predicting long-term creep and fatigue in polymer matrix composites. With its distinguished editor and international team of contributors, Creep and Fatigue in Polymer Matrix Composites is a standard reference for all those researching and using polymer matrix composites in such areas as civil engineering. Reviews the latest research in modelling and predicting creep and fatigue in polymer matrix composites A specific focus on viscoelestic and viscoplastic modelling features the time-temperature-age superposition principle for predicting long-term response Creep rupture and damage interaction is examined with particular focus on time-dependent failure criteria for lifetime prediction of polymer matrix composite structures illustrated using experimental cases

Continuum Mechanics

Continuum Mechanics Book
Author : Yong Gan
Publisher : BoD – Books on Demand
Release : 2012-03-28
ISBN : 9535104470
Language : En, Es, Fr & De

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Book Description :

Continuum Mechanics is the foundation for Applied Mechanics. There are numerous books on Continuum Mechanics with the main focus on the macroscale mechanical behavior of materials. Unlike classical Continuum Mechanics books, this book summarizes the advances of Continuum Mechanics in several defined areas. Emphasis is placed on the application aspect. The applications described in the book cover energy materials and systems (fuel cell materials and electrodes), materials removal, and mechanical response/deformation of structural components including plates, pipelines etc. Researchers from different fields should be benefited from reading the mechanics approached to real engineering problems.

On the anisotropic plastic behaviour of short fibre reinforced thermoplastics and its description by phenomenological material modelling

On the anisotropic plastic behaviour of short fibre reinforced thermoplastics and its description by phenomenological material modelling Book
Author : Felix Dillenberger
Publisher : Springer Nature
Release : 2019-10-21
ISBN : 3658281995
Language : En, Es, Fr & De

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Book Description :

A requirement for the safe design of thermoplastic parts is the ability to precisely predict mechanical behaviour by finite element simulations. Typical examples include the engineering of relevant components in automotive applications. For this purpose adequate material models are essential. In this context, the present work introduces a material modelling approach for short fibre reinforced thermoplastics (SFRTPs). SFRTP parts are processed cost-effectively by injection moulding and show a varying degree of anisotropy due to the locally inhomogeneous fibre distributions that arise during the moulding process. The presented material model considers linear-elastic behaviour and non-linear orthotropic stress-state dependent viscoplastic deformation for arbitrary fibre distributions. The constitutive equations are verified with the experiments of a PPGF30 material regarding different stress-states and orientations.

Composites Institute s International Conference Proceedings

Composites Institute s  International Conference Proceedings Book
Author : Spi/Ci
Publisher : CRC Press
Release : 1999-05-12
ISBN : 9781566768009
Language : En, Es, Fr & De

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Book Description :

Download Composites Institute s International Conference Proceedings book written by Spi/Ci, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Finite Element Modelling of Composite Materials and Structures

Finite Element Modelling of Composite Materials and Structures Book
Author : F L Matthews,G A O Davies,D Hitchings,C Soutis
Publisher : Elsevier
Release : 2000-10-27
ISBN : 1855738929
Language : En, Es, Fr & De

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Book Description :

Finite element modelling of composite materials and structures provides an introduction to a technique which is increasingly being used as an analytical tool for composite materials. The text is presented in four parts: Part one sets the scene and reviews the fundamentals of composite materials together with the basic nature of FRP and its constituents. Two-dimensional stress-strain is covered, as is laminated plated theory and its limitations. Part two reviews the basic principles of FE analysis, starting with underlying theoretical issues and going on to show how elements are derived, a model is generated and results are processed. Part three builds on the basics of FE analysis and considers the particular issues that arise in applying finite elements to composites, especially to the layered nature of the material. Part four deals with the application of FE to FRP composites, presenting analytical models alongside FE representations. Specific issues addressed include interlaminar stresses, fracture delamination, joints and fatigue. This book is invaluable for students of materials science and engineering, and for engineers and others wishing to expand their knowledge of structural analysis. Covers important work on finite element analysis of composite material performance Based on material developed for an MSc course at Imperial College, London, UK Covers particular problems such as holes, free edges with FE results compared with experimental data and classical analysis