Table of Contents:
  • 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