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Finite Element Analysis of Composite Materials using Abaqus™




ISBN 9781466516618
Published April 18, 2013 by CRC Press
- 141 B/W Illustrations

 
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Book Description

Developed from the author’s graduate-level course on advanced mechanics of composite materials, Finite Element Analysis of Composite Materials with Abaqus™ shows how powerful finite element tools address practical problems in the structural analysis of composites. Unlike other texts, this one takes the theory to a hands-on level by actually solving problems. It explains the concepts involved in the detailed analysis of composites, the mechanics needed to translate those concepts into a mathematical representation of the physical reality, and the solution of the resulting boundary value problems using the commercial finite element analysis software Abaqus.

The first seven chapters provide material ideal for a one-semester course. Along with offering an introduction to finite element analysis for readers without prior knowledge of the finite element method (FEM), these chapters cover the elasticity and strength of laminates, buckling analysis, free edge stresses, computational micromechanics, and viscoelastic models and composites. Emphasizing hereditary phenomena, the book goes on to discuss continuum and discrete damage mechanics as well as delaminations.

More than 50 fully developed examples are interspersed with the theory, more than 75 exercises are included at the end of each chapter, and more than 50 separate pieces of Abaqus pseudocode illustrate the solution of example problems. The author’s website offers the relevant Abaqus and MATLAB® model files available for download, enabling readers to easily reproduce the examples and complete the exercises. The text also shows readers how to extend the capabilities of Abaqus via "user subroutines" and Python scripting.

Table of Contents

Mechanics of Orthotropic Materials
Lamina Coordinate System
Displacements
Strain
Stress
Contracted Notation
Equilibrium and Virtual Work
Boundary Conditions
Continuity Conditions
Compatibility
Coordinate Transformations
Transformation of Constitutive Equations
3D Constitutive Equations
Engineering Constants
From 3D to Plane Stress Equations
Apparent Laminate Properties

Introduction to Finite Element Analysis
Basic FEM Procedure
General Finite Element Procedure
Solid Modeling, Analysis, and Visualization

Elasticity and Strength of Laminates
Kinematic of Shells
Finite Element Analysis of Laminates
Failure Criteria
Predefined Fields

Buckling
Eigenvalue Buckling Analysis
Continuation Methods

Free Edge Stresses
Poisson's Mismatch
Coefficient of Mutual Influence

Computational Micromechanics
Analytical Homogenization
Numerical Homogenization
Local-Global Analysis
Laminated RVE

Viscoelasticity
Viscoelastic Models
Boltzmann Superposition
Correspondence Principle
Frequency Domain
Spectrum Representation
Micromechanics of Viscoelastic Composites
Macromechanics of Viscoelastic Composites
FEA of Viscoelastic Composites

Continuum Damage Mechanics
One-Dimensional Damage Mechanics
Multidimensional Damage and Effective Spaces
Thermodynamics Formulation
Kinetic Law in Three-Dimensional Space
Damage and Plasticity

Discrete Damage Mechanics
Overview
Approximations
Lamina Constitutive Equation
Displacement Field
Degraded Laminate Stiffness and CTE
Degraded Lamina Stiffness
Fracture Energy
Solution Algorithm

Delaminations
Cohesive Zone Method
Virtual Crack Closure Technique

Appendix A: Tensor Algebra
Appendix B: Second-Order Diagonal Damage Models
Appendix C: Software Used

Index

Problems appear at the end of each chapter.

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Reviews

"In my opinion, the book is very well written; it is easy to follow and includes topics that students, engineers, and researchers from different fields can find very interesting and useful. The examples are very well detailed and provide valuable guidance on how to implement and understand theoretical solutions when translated into finite element models of composite materials and structures. Overall, this is a great book if the reader is looking for a comprehensive treatment of composite materials covering detailed theoretical background followed by implementation of the concepts into practical problems using a powerful modeling tool such as Abaqus."
—Eduardo M. Sosa, West Virginia University

"The book is essential for any academic in the area of solid mechanics. I use this book with my students, as the subject and the materials are very clear and finite element codes in the book help their work progress and make my guidance more productive. It has both theory and applications using the finite element method. This book is also essential for composite engineers as a quick reference of topics that can be of use in their field."
—Gasser Abdelal, Queen’s University Belfast

"I will definitely adopt this text for my course. … The use of Abaqus-based examples for the reinforcement of the theory and concepts allows students to learn how to apply the concepts using a popular finite element package that will provide each student with a marketable skill that is in demand by industry. The text has a good mix of finite element theory and composite material concepts that are reinforced through the example problems. The Abaqus examples are well organized and present the basic working knowledge in the use of Abaqus/CAE for the preprocessing, analysis in the solver, and the subsequent postprocessing."
—James A. Sherwood, University of Massachusetts Lowell

"This book by Prof. Barbero does an excellent job introducing the fundamentals of mechanics of composite materials and the finite element method in a concise way. Some of the most common problems that the practicing engineer has to face when designing with composites using finite element analysis are covered in detail. The later chapters in the book will be of great interest to the engineers and researchers interested in modeling the failure and post-failure behavior of composite structures.
The structure of the book is easy to follow as every chapter starts with an introduction and then the theory and examples are thoroughly developed. Lastly, exercises are included at the end of each chapter. A very complete and useful list of references is used and cited throughout the book. The use of Abaqus is well documented with step-by-step instructions, screen shots showing the menus, and Python scripts.
This book will be a valuable asset for any reader dealing with modeling of composite structures using the finite element method."
—Joaquin Gutierrez, Blade Dynamics LLLP