Table of Contents

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

About the Author

West Virginia University, Morgantown, USA