Table of Contents

Foreword xi
Stephen D. ANTOLOVICH

Chapter 1. High Temperature Fatigue 1
Stephen D. ANTOLOVICH and Andre PINEAU

1.1. Introduction and overview 1

1.2. 9 to 12% Cr steels 7

1.3. Austenitic stainless steels 22

1.4. Fatigue of superalloys 40

1.5. Lifespan prediction in high-temperature fatigue 104

1.6. Conclusions 114

1.7. Acknowledgments 118

1.8. Bibliography 118

Chapter 2. Analysis of Elasto-plastic Strains and Stresses Near Notches Subjected to Monotonic and Cyclic Multiaxial Loading Paths 131
Gregory GLINKA

2.1. Introduction 131

2.2. Multiaxial fatigue parameters 134

2.3. Elasto-plastic notch-tip stress-strain calculation methods 146

2.4. Comparison of notch stress-strain calculations with numerical data 164

2.5. Conclusion 173

2.6. Bibliography 173

2.7. Symbols 176

Chapter 3. Fatigue of Composite Materials 179
Claude BATHIAS

3.1. Introduction 179

3.2. Drastic differences between the fatigue of composites and metals 183

3.3. Notch effect on fatigue strength 191

3.4. Effect of a stress on composite fatigue 193

3.5. Fatigue after impact 198

3.6. Fatigue damage criteria 199

3.7. Conclusion 202

3.8. Bibliography 203

Chapter 4. Fatigue of Polymers and Elastomers 205
Claude BATHIAS

4.1. Introduction 205

4.2. Life of polymers 206

4.3. Crack propagation within polymers 207

4.4. Damaging mechanisms of polymers 208

4.5. Specific case of the fatigue of elastomers 210

4.6. The life of natural rubbers 211

4.7. Crack propagation in natural rubber 213

4.8. Propagation mechanisms of cracks in natural rubber 217

4.9. Multiaxial fatigue of rubbers 219

4.10. Cavitation of rubbers 221

4.11. Conclusion 222

4.12. Bibliography 222

Chapter 5. Probabilistic Design of Structures Submitted to Fatigue 223
Bruno SUDRET

5.1. Introduction 223

5.2. Treatment of hazard in mechanical models 224

5.3. Plotting probabilistic S–N curves 229

5.4. Probabilistic design with respect to crack initiation 237

5.5. Probabilistic propagation models 245

5.6. Conclusion 252

5.7. Appendix A: probability theory reminder 253

5.8. Bibliography 259

Chapter 6. Prediction of Fatigue Crack Growth within Structures 265
Jean LEMAITRE

6.1. Prediction problems 265

6.2. Crack growth laws 268

6.3. Calculation of cracking variables 282

6.4. Resolution method of the cracking equations 289

6.5. New directions 296

6.6. Bibliography 296

List of Authors 299

Index 301

About the Author

Claude Bathias is Emeritus Professor at the University Paris10-La Defense. He started his career as a research engineer in theaerospace and military industry where he remained for 20 yearsbefore becoming director of the CNRS laboratory ERA 914 at theUniversity of Compiegne. He has launched two internationalconferences about fatigue: International Conference on the Fatigueof Composite Materials (ICFC) and Very High Cycle Fatigue (VHCF). Andre Pineau is Professor at Mines ParisTech and amember of the French Academy of Engineering. He has published about300 papers in international journals and edited or co-edited 10books. His main research fields are phase transformations, fatigueand fracture of metallic materials.