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Features

•Provides a comprehensive presentation of advanced mechanics of composite materials linked with practical software implementation

•Eliminates the need to teach materials topics separately from finite element analysis techniques

•Uses almost exclusively a single software program to eliminate the need to learn the specifics of different programs

•Includes more than 50 pieces of ANSYS code, more than 50 examples, and more than 75 homework problems

•Offers a companion Web site with code downloads for students and a special area reserved for instructorsSolutions Manual available for qualifying course adoptions!

Summary

Designing structures using composite materials poses unique challenges due especially to the need for concurrent design of both material and structure. Students are faced with two options: textbooks that teach the theory of advanced mechanics of composites, but lack computational examples of advanced analysis; and books on finite element analysis that may or may not demonstrate very limited applications to composites. But now there is third option that makes the other two obsolete: Ever J. Barbero's Finite Element Analysis of Composite Materials.

By layering detailed theoretical and conceptual discussions with fully developed examples, this text supplies the missing link between theory and implementation. In-depth discussions cover all of the major aspects of advanced analysis, including three-dimensional effects, viscoelasticity, edge effects, elastic instability, damage, and delamination. More than 50 complete examples using mainly ANSYS™, but also including some use of MATLAB®, demonstrate how to use the concepts to formulate and execute finite element analyses and how to interpret the results in engineering terms. Additionally, the source code for each example is available for download online.

Cementing applied computational and analytical experience to a firm foundation of basic concepts and theory, Finite Element Analysis of Composite Materials offers a modern, practical, and versatile classroom tool for today's engineering classroom.

Ever Barbero

Professor, West Virginia University

Morgantown, WV, USA

MECHANICS OF ORTHOTROPIC MATERIALS
Material 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
Suggested Problems
References
INTRODUCTION TO THE FINITE ELEMENT METHOD
Basic FEM Procedure
General FEM Procedure
FE Analysis with CAE Systems
Suggested Problems
References
ELASTICITY AND STRENGTH OF LAMINATES
Kinematics of Shells
FE Analysis of Laminates
Failure Criteria
Suggested Problems
References
BUCKLING
Bifurcation Methods
Continuation Methods
Suggested Problems
References
FREE EDGE STRESSES
Poisson's Mismatch
Coefficient of Mutual Influence
Suggested Problems
References
COMPUTATIONAL MICROMECHANICS
Analytical Homogenization
Numerical Homogenization
Local-Global Analysis
Laminated RVE
Suggested Problems
References
VISCOELASTICITY
Viscoelastic Models
Boltzmann Superposition
Correspondence Principle
Frequency Domain
Spectrum Representation
Micromechanics of Viscoelastic Composites
Macro-Mechanics of Viscoelastic Composites
FEA of Viscoelastic Composites
Suggested Problems
References
DAMAGE MECHANICS
One-Dimensional Damage Mechanics
Multi-Dimensional Damage and Effective Spaces
Thermodynamics Formulation
Kinetic Law in Three-Dimensional Space
Damage and Plasticity
Suggested Problems
References
A DAMAGE MODEL FOR FIBER REINFORCED COMPOSITES
Theoretical Formulation
Numerical Implementation
Model Identification
Laminate Damage
References
Bibliography
DELAMINATIONS
Two-Dimensional Delamination
Delamination in Composite Plates
Suggested Problems
References
APPENDIX A: TENSOR ALGEBRA
Principal Directions of Stress and Strain
Tensor Symmetry
Matrix Representation of a Tensor
Inner-Product Tensor Multiplication
Tensor Inversion
Tensor Differentiation
APPENDIX B: STRAIN CONCENTRATION TENSORS
APPENDIX C: SECOND ORDER DIAGONAL DAMAGE MODELS
Effective and Damaged Spaces
Thermodynamic Force Y
Damage Surface
Unrecoverable-Strain Surface
APPENDIX D: NUMERICAL INVERSE LAPLACE TRANSFORM
APPENDIX E: INTRODUCTION TO THE SOFTWARE INTERFACE
ANSYS
BMI3
References
INDEX
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