Finite Element Analysis of Composite Materials using Abaqus™: 1st Edition (Hardback) book cover

Finite Element Analysis of Composite Materials using Abaqus™

1st Edition

By Ever J. Barbero

CRC Press

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Hardback: 9781466516618
pub: 2013-04-18
eBook (VitalSource) : 9780429096662
pub: 2013-04-18
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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.


"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

Table of Contents

Mechanics of Orthotropic Materials

Lamina Coordinate System




Contracted Notation

Equilibrium and Virtual Work

Boundary Conditions

Continuity Conditions


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


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


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



Lamina Constitutive Equation

Displacement Field

Degraded Laminate Stiffness and CTE

Degraded Lamina Stiffness

Fracture Energy

Solution Algorithm


Cohesive Zone Method

Virtual Crack Closure Technique

Appendix A: Tensor Algebra

Appendix B: Second-Order Diagonal Damage Models

Appendix C: Software Used


Problems appear at the end of each chapter.

About the Series

Composite Materials

Analysis and Design

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Mechanics / General