Finite element analysis of composite materials

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