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PREFACEMATHEMATICAL PRELIMINARIESMAPLE TutorialVectorsMatricesIndicial NotationTransformation of VectorsCartesian TensorsEigenvalues and Eigenvectors of TensorsTensor CalculusMAPLE Tensor CommandsELASTICITY THEORYMotion of a ContinuumDeformation and StrainStressLinear Elastic RelationISOTROPIC DAMAGE MECHANICSIntroductionDamage VariablesEffective StressDamage EvolutionKINEMATIC DESCRIPTION OF DAMAGEIntroductionTheoretical PreliminariesDescription of Damage StateFourth-Order Anisotropic Damage Effect TensorKinematic Description of Elastic-Damage DeformationConstitutive Equation of Elastic-Damage BehaviorConclusionANISOTROPIC DAMAGE MECHANICSIntroductionAnisotropic Damage CriterionDamage TensorDamage EvolutionConstitutive ModelUniaxial Tension AnalysisFinite Element ImplementationCenter-Cracked Thin Plate Under In-Plane Tensile ForcesConclusionPLASTICITY THEORYIntroductionTheoretical FormulationMonotonic and Cyclic Tension Loadings on 316 Stainless SteelModification of the Kinematic Hardening Model for Non-Proportional LoadingModel Predictions and Comparisons with Experimental Data for Non-Proportional LoadingsRatchettingConclusionsCOUPLED DAMAGE PLASTICITYStress Transformation Between Damaged and Undamaged StatesStrain Rate Transformation Between Damaged and Undamaged StatesConstitutive ModelApplication to Void Growth: Gurson's ModelEffective Spin TensorKINEMATICS OF DAMAGE FOR FINITE-STRAIN ELASTO-PLASTIC SOLIDSTheoretical PreliminariesDescription of Damage StateFourth-Order Anisotropic Damage Effect TensorThe Kinematics of Damage for Elasto-Plastic Behavior with Finite StrainsIrreversible ThermodynamicsConstitutive Equation for Finite Elasto-Plastic Deformation with Damage BehaviorREFERENCESINDEX