| Background on Continuum Damage Mechanics | p. 1 |
| Physics and Damage Variables | p. 1 |
| Definition of a Scalar Damage Variable | p. 3 |
| Definition of Several Scalar Damage Variables | p. 3 |
| Definition of a Tensorial Damage Variable | p. 4 |
| Effective Stress Concept | p. 5 |
| Effects of Damage | p. 7 |
| Thermodynamics of Damage | p. 7 |
| General Framework | p. 7 |
| State Potential for Isotropic Damage | p. 10 |
| State Potential for Anisotropic Damage | p. 11 |
| Quasi-Unilateral Conditions of Microdefects Closure | p. 12 |
| Measurement of Damage | p. 16 |
| Isotropic Elasticity Change | p. 17 |
| Isotropic Elasticity Change by Ultrasonic Waves | p. 17 |
| Anisotropic Elasticity Change | p. 18 |
| Hardness Change | p. 22 |
| Elasticity Field Change | p. 23 |
| Kinetic Laws of Damage Evolution | p. 26 |
| Damage Threshold and Mesocrack Initiation | p. 27 |
| Formulation of the Isotropic Unified Damage Law | p. 32 |
| Formulation of the Anisotropic Damage Law | p. 34 |
| Fast Identification of Damage Material Parameters | p. 35 |
| Generalization of the Unified Damage Law | p. 41 |
| Elasto-(Visco-)Plasticity Coupled with Damage | p. 45 |
| Basic Equations without Damage Coupling | p. 45 |
| Coupling with Isotropic Damage | p. 52 |
| Coupling with Anisotropic Damage | p. 56 |
| Non-Isothermal Behavior | p. 60 |
| Two-Scale Model for Damage at Microscale | p. 60 |
| Localization and Mesocrack Initiation | p. 65 |
| Critical Damage Criterion | p. 65 |
| Strain Damage Localization Criterion | p. 65 |
| Size and Orientation of the Crack Initiated | p. 73 |
| Numerical Analysis of Damage | p. 77 |
| Uncoupled Analysis | p. 78 |
| Uniaxial Loading | p. 79 |
| Proportional Loading | p. 82 |
| Post-processing a (Visco-)Plastic Computation | p. 85 |
| Post-processing an Elastic Computation | p. 86 |
| Jump-in-Cycles Procedure in Fatigue | p. 88 |
| Fully-Coupled Analysis | p. 90 |
| Nonlinear Material Behavior FEA | p. 91 |
| FE Resolution of the Global Equilibrium | p. 94 |
| Local Integration Subroutines | p. 96 |
| Single Implicit Algorithm for Damage Models | p. 97 |
| Damage Models with Microdefects Closure Effect | p. 105 |
| Performing FE Damage Computations | p. 111 |
| Localization Limiters | p. 112 |
| Locally-Coupled Analysis | p. 114 |
| Post-Processing a Reference Structure Calculation | p. 115 |
| Implicit Scheme for the Two-Scale Model | p. 117 |
| DAMAGE 2000 Post-Processor | p. 119 |
| Precise Identification of Material Parameters | p. 120 |
| Formulation of an Identification Problem | p. 121 |
| Minimization Algorithm for Least Squares Problems | p. 123 |
| Procedure for Numerical Identification | p. 127 |
| Cross Identification of Damage Evolution Laws | p. 132 |
| Validation Procedure | p. 133 |
| Sensitivity Analysis | p. 135 |
| Hierarchic Approach and Model Updating | p. 137 |
| Table of Material Damage Parameters | p. 138 |
| Ductile Failures | p. 141 |
| Engineering Considerations | p. 142 |
| Fast Calculation of Structural Failures | p. 142 |
| Uniaxial Behavior and Validation of the Damage Law | p. 143 |
| Case of Proportional Loading | p. 144 |
| Sensitivity Analysis | p. 146 |
| Stress Concentration and the Neuber Method | p. 147 |
| Safety Margin and Crack Arrest | p. 152 |
| Basic Engineering Examples | p. 154 |
| Plates or Members with Holes or Notches | p. 154 |
| Pressurized Shallow Cylinders | p. 156 |
| Post-Buckling in Bending | p. 158 |
| Damage Criteria in Proportional Loading | p. 160 |
| Numerical Failure Analysis | p. 166 |
| Finite Strains | p. 167 |
| Deep Drawing Limits | p. 170 |
| Damage in Cold Extrusion Process | p. 172 |
| Crack Initiation Direction | p. 174 |
| Porous Materials - the Gurson Model | p. 176 |
| Frames Analysis by Lumped Damage Mechanics | p. 181 |
| Predeformed and Predamaged Initial Conditions | p. 184 |
| Hierarchic Approach up to Full Anisotropy | p. 188 |
| Low Cycle Fatigue | p. 191 |
| Engineering Considerations | p. 192 |
| Fast Calculation of Structural Failures | p. 192 |
| Uniaxial Behavior and Validation of the Damage Law | p. 192 |
| Case of Proportional Loading | p. 198 |
| Sensitivity Analysis | p. 199 |
| Cyclic Elasto-Plastic Stress Concentration | p. 201 |
| Safety Margin and Crack Growth | p. 208 |
| Basic Engineering Examples | p. 208 |
| Plate or Members with Holes or Notches | p. 208 |
| Pressurized Shallow Cylinders | p. 210 |
| Cyclic Bending of Beams | p. 212 |
| Numerical Failure Analysis | p. 213 |
| Effects of Loading History | p. 214 |
| Multiaxial and Multilevel Fatigue Loadings | p. 216 |
| Damage and Fatigue of Elastomers | p. 221 |
| Predeformed and Predamaged Initial Conditions | p. 227 |
| Hierarchic Approach up to Non-Proportional Effects | p. 228 |
| Creep, Creep-Fatigue, and Dynamic Failures | p. 233 |
| Engineering Considerations | p. 234 |
| Fast Calculation of Structural Failures | p. 234 |
| Uniaxial Behavior and Validation of the Damage Law | p. 235 |
| Case of Proportional Loading | p. 237 |
| Sensitivity Analysis | p. 241 |
| Elasto-Visco-Plastic Stress Concentration | p. 244 |
| Safety Margin and Crack Growth | p. 247 |
| Basic Engineering Examples | p. 248 |
| Strain Rate and Temperature-Dependent Yield Stress | p. 248 |
| Plates or Members with Holes or Notches | p. 250 |
| Pressurized Shallow Cylinder | p. 253 |
| Adiabatic Dynamics Post-Buckling in Bending | p. 255 |
| Numerical Failure Analysis | p. 257 |
| Hollow Sphere under External Pressure | p. 258 |
| Effect of Loading History: Creep-Fatigue | p. 262 |
| Creep-Fatigue and Thermomechanical Loadings | p. 263 |
| Dynamic Analysis of Crash Problems | p. 267 |
| Ballistic Impact and Penetration of Projectiles | p. 269 |
| Predeformed and Predamaged Initial Conditions | p. 272 |
| Hierarchic Approach up to Viscous Elastomers | p. 274 |
| High Cycle Fatigue | p. 277 |
| Engineering Considerations | p. 278 |
| Fast Calculation of Structural Failures | p. 279 |
| Characteristic Effects in High-Cycle Fatigue | p. 279 |
| Fatigue Limit Criteria | p. 281 |
| Two-Scale Damage Model in Proportional Loading | p. 283 |
| Sensitivity Analysis | p. 289 |
| Safety Margin and Crack Growth | p. 292 |
| Basic Engineering Examples | p. 294 |
| Plates or Members with Holes or Notches | p. 294 |
| Pressurized Shallow Cylinders | p. 295 |
| Bending of Beams | p. 297 |
| Random Loadings | p. 297 |
| Numerical Failure Analysis | p. 300 |
| Effects of Loading History | p. 300 |
| Non-Proportional Loading of a Thinned Shell | p. 303 |
| Random Distribution of Initial Defects | p. 307 |
| Stochastic Resolution by Monte Carlo Method | p. 309 |
| Predeformed and Predamaged Initial Conditions | p. 312 |
| Hierarchic Approaches up to Surface and Gradient Effects | p. 314 |
| Failure of Brittle and Quasi-Brittle Materials | p. 321 |
| Engineering Considerations | p. 321 |
| Fast Calculations of Structural Failures | p. 324 |
| Damage Equivalent Stress Criterion | p. 324 |
| Interface Debonding Criterion | p. 327 |
| The Weibull Model | p. 328 |
| Two-Scale Damage Model for Quasi-Brittle Failures | p. 332 |
| Sensitivity Analysis | p. 333 |
| Safety Margin and Crack Propagation | p. 334 |
| Basic Engineering Examples | p. 336 |
| Plates or Members with Holes and Notches | p. 336 |
| Pressurized Shallow Cylinders | p. 337 |
| Fracture of Beams in Bending | p. 338 |
| Numerical Failure Analysis | p. 339 |
| Quasi-Brittle Damage Models | p. 339 |
| Failure of Pre-stressed Concrete 3D Structures | p. 346 |
| Seismic Response of Reinforced Concrete Structures | p. 350 |
| Damage and Delamination in Laminate Structures | p. 356 |
| Failure of CMC Structures | p. 361 |
| Single and Multifragmentation of Brittle Materials | p. 364 |
| Hierarchic Approach up to Homogenized Behavior | p. 368 |
| Bibliography | p. 373 |
| Index | p. 375 |
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