Background on Continuum Dainage Mechanics Physics and Damage Yariables Definition uf a Scalar Damage Yariable Definition uf Several Scalar Damage Yariables Definition uf a Tensorial Damage Yariable Effective Stress Concept Effects of Damage Thermodynamics of Damage General Framework State Potentiał for Isotropic Damage State Potentiał for Anisotropic Damage Quasi-Unilateral Conditions of Microdefects Closure . Measurement of Damage Isotropic Elasticity Change Isotropic Elasticity Change by Ultrasonic Waves Anisotropic Elasticity Change Hardness Change Elasticity Field Change Kinetic Laws of Damage Evolution Damage Threshold and Mesocrack Initiation Formulation of the Isotropic Unifled Damage Law Formulation of the Anisotropic DamageLaw Fast Identification of Damage Materiał Parameters Generalization of the Unified Damage Law Elasto-(Visco-) Piast, icity Coupled with Damage Basic Eąuations without Damage Coupling Coupling with Isotropic Damage Coupling with Anisotropic Damage Non-Isothermal Behavior Two-Scale Model for Damage at Microscale Localization and Mesocrack Initiation 1.6.3 Size and Orientation of the Crack Initiated Gritical Damage Criterion 65 Strain Damage Localization Criterion 2Numerical Analysis of Damage 2.1 Uncoupled Analysis Uniaocial Loading Proportional Loading Post-processing a (Viseo-)Plastic Computation Post-processing an Elastic Computation Jump-in-Cycles Proceduro in Fatigue Fully-Coupled Analysis Nonlinear Materiał Behavior FEA FE Resolution of the Global Eąuilibrium Local Integration Subroutines Single Implicit Algorithm for Damage Models Damage Models Local Precis 2 Proced Cross I Yafidat Sensiti’ Hierarchie Ap Table of Mato 3Duet,ile Failures . 1.4.1Engineering C Post-Processing a Reference Structure Calculation Minimization Algorithm for Least Sąuares Problerns Uniaxial Behavior and Yalidation of the Damage Law Case of Proportional Loading Sensithity Analysis Stress Concentration and the Neul Safety Margin and Crack Arrest . Basic Engineering Examples Plates or Menibers with Holes or Notches Pressurized Shallow Cylinders Post-Buckling in Bending DamageCriteria in Proportional Loading Numerical Failure Analysis Finite Strains Deep Drawing Limits Damage in Colci Extrusion Process Crack Initiation Direction Porous Materials - the Gurson Model Frames Analysis by Lumped Damage Mechanics Predeformed and Predamaged Initial Conditions Hierarchie Approach up to Fuli Anisotropy Low Cycle Fatigue Engineering Considerations Fast Calculation of StructuralFailures Uniaxial Behavior and Yalidation of the Damage LawCase of Proportional Loading Sensitivity Analysis Cyclic Elasto-Plastic Stress Concentration Safety Margin and Crack Growth Basic: Engineering Examples Platę or Menibers with Holes or Notches Pressurized Shallow Cylinders Cyclic Bending of Beams Numerical Failure Analysis Effects of Loading History Multiaxial and Multilevel Fatigue Loadings Damage and Fatigue of Elastomers Predeformed and Predamaged Initial Conditions Hierarchie Approach up to Non-Proportional Effects Creep, Creep-Fatigue, and DynamieFailures Engineering Considerations234 Fast Calculation of StructuralFailures Uniaxial Behavior and Validation of the Damage Law Case of Proportional Loading Sensitivity Analysis Elasto-Visco-Plastic Stress Concentration Safety Margin and Crack Growth Basic Engineering Examples Strain Ratę and Temperature-Dependent Yield Stress Piat es or Members with Holes or Notches Pressurized Shałlow Cylinder Adiabatic Dynamics Post-Buckling in Bending .... Numerical Failure Analysis Hollow Sphere under External Pressure Effect of Loading History: Creep-Fatigue Creep-Fatigue and Thermomechanical Loadings Dynamie Analvsis of Crash Problems Ballistic Impact and Penetration of Projec.tiles .... Predeformed and Predamaged Initial Conditions . . Hierarchie Approach up to Viscous Elastomers High Cycle Fatigue Engineering Considerations Fast Calculation of Structural Failures Characteristic Effects in High-Cycle Fatigue Fatigue Limit Criteria Two-Scalę Damage Model in Proportional Loading Sensitivity Analysis a fety Margin and Crack Growth Basic Engineering Examples Plat.es or Members with Holes or Notches Pressurized Shallow Cvlinders Bending of Beams Random Loadings Numerical Failure Analysis Effects of Loading History Non-Proportional Loading of a Thinned Shell Random Distribution of Initial Defects Stochastic Resolution bv Monte Carlo Method .... Predeformed and Predamaged Initial Conditions . . Hierarchie Approaches up to Surface and Gradient Effects Failure of Brittle and Quasi-Brittle Materials Engineering Considerations Fast Calculations of Structural Failures Damage Equivalent Stress Criterion Interface Debonding Criterion The Weibull Model Two-Scale Damage Model for Quasi-Brittle Failures Sensitivity Analysis Safety Margin and Crack Propagation 7.3 BasicEngineering Examples Plates or Members with Holes and Notches Pressurized Shallow Cylinders Fracture of Beams in Beruiing Numerical Failure Analysis Quasi-Brittle Damage Models Failure of Pre-stressed Concrete 3D Structures Seismic Response of Reinforced Concrete Structures Damage and Delamination in Laminate Structures Failure of CMC Structures Single and Multifragmentation of Brittle Materials Hierarchie Approach up to Hornogenized Behavior