Claude Bathias & André Pineau 
Fatigue of Materials and Structures 
Application to Damage and Design

The design of mechanical structures with improved and predictable
durability cannot be achieved without a thorough understanding of
the mechanisms of fatigue damage and more specifically the
relationships between the microstructure of materials and their
fatigue properties. Written by leading experts in the field, this
book (which is complementary to Fatigue of Materials and
Structures: Application to Damage and Design, also edited by Claude
Bathias and André Pineau), provides an authoritative,
comprehensive and unified treatment of the mechanics and
micromechanisms of fatigue in metals, polymers and composites. Each
chapter is devoted to one of the major classes of materials or to
different types of fatigue damage, thereby providing overall
coverage of the field.



The book deals with crack initiation, crack growth, low-cycle
fatigue, gigacycle fatigue, shorts cracks, fatigue micromechanisms
and the local approach to fatigue damage, corrosion fatigue,
environmental effects and variable amplitude loadings, and will be
an important and much used reference for students, practicing
engineers and researchers studying fracture and fatigue in numerous
areas of mechanical, structural, civil, design, nuclear, and
aerospace engineering as well as materials science.

Table des matières

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

A propos de l’auteur

Claude Bathias is Emeritus Professor at the University Paris
10-La Defense. He started his career as a research engineer in the
aerospace and military industry where he remained for 20 years
before becoming director of the CNRS laboratory ERA 914 at the
University of Compiegne. He has launched two international
conferences about fatigue: International Conference on the Fatigue
of Composite Materials (ICFC) and Very High Cycle Fatigue (VHCF).

André Pineau is Professor at Mines Paris Tech and a
member of the French Academy of Engineering. He has published about
300 papers in international journals and edited or co-edited 10
books. His main research fields are phase transformations, fatigue
and fracture of metallic materials.