Damage Mechanics (Hardcover)

PREFACE
MATHEMATICAL PRELIMINARIES
MAPLE Tutorial
Vectors
Matrices
Indicial Notation
Transformation of Vectors
Cartesian Tensors
Eigenvalues and Eigenvectors of Tensors
Tensor Calculus
MAPLE Tensor Commands
ELASTICITY THEORY
Motion of a Continuum
Deformation and Strain
Stress
Linear Elastic Relation
ISOTROPIC DAMAGE MECHANICS
Introduction
Damage Variables
Effective Stress
Damage Evolution
KINEMATIC DESCRIPTION OF DAMAGE
Introduction
Theoretical Preliminaries
Description of Damage State
Fourth-Order Anisotropic Damage Effect Tensor
Kinematic Description of Elastic-Damage Deformation
Constitutive Equation of Elastic-Damage Behavior
Conclusion
ANISOTROPIC DAMAGE MECHANICS
Introduction
Anisotropic Damage Criterion
Damage Tensor
Damage Evolution
Constitutive Model
Uniaxial Tension Analysis
Finite Element Implementation
Center-Cracked Thin Plate Under In-Plane Tensile Forces
Conclusion
PLASTICITY THEORY
Introduction
Theoretical Formulation
Monotonic and Cyclic Tension Loadings on 316 Stainless Steel
Modification of the Kinematic Hardening Model for Non-Proportional Loading
Model Predictions and Comparisons with Experimental Data for Non-Proportional Loadings
Ratchetting
Conclusions
COUPLED DAMAGE PLASTICITY
Stress Transformation Between Damaged and Undamaged States
Strain Rate Transformation Between Damaged and Undamaged States
Constitutive Model
Application to Void Growth: Gurson's Model
Effective Spin Tensor
KINEMATICS OF DAMAGE FOR FINITE-STRAIN ELASTO-PLASTIC SOLIDS
Theoretical Preliminaries
Description of Damage State
Fourth-Order Anisotropic Damage Effect Tensor
The Kinematics of Damage for Elasto-Plastic Behavior with Finite Strains
Irreversible Thermodynamics
Constitutive Equation for Finite Elasto-Plastic Deformation with Damage Behavior
REFERENCES
INDEX