Claude Bathias is Emeritus Professor at the University of 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 Compiègne. 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 ParisTech 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.

• Foreword xiStephen D. ANTOLOVICHChapter 1. Multiaxial Fatigue 1Marc BLETRY and Georges CAILLETAUD1.1 Introduction 11.2. Experimental aspects 121.3. Criteria specific to the unlimited endurance domain 151.4. Low cycle fatigue criteria 301.5. Calculating methods of the lifetime under multiaxial conditions 351.6. Conclusion 401.7. Bibliography 41Chapter 2. Cumulative Damage 47Jean-Louis CHABOCHE2.1. Introduction 472.2. Nonlinear fatigue cumulative damage 492.3. A nonlinear cumulative fatigue damage model 632.4. Damage law of incremental type 772.5. Cumulative damage under fatigue-creep conditions 952.6. Conclusion 1032.7. Bibliography 104Chapter 3. Damage Tolerance Design 111Raphael CAZES3.1. Background 1123.2. Evolution of the design concept of “fatigue” phenomenon 1123.3. Impact of damage tolerance on design 1153.4. Calculation of a “stress intensity factor” 1193.5. Performing some “damage tolerance” calculations 1273.6. Application to the residual strength of thin sheets 1313.7. Propagation of cracks subjected to random loading in the aeronautic industry 1353.8. Conclusion 1443.9. Damage tolerance within the gigacyclic domain 1473.10. Bibliography 149Chapter 4. Defect Influence on the Fatigue Behavior of Metallic Materials 151Gilles BAUDRY4.1. Introduction 1514.2. Some facts 1524.3. Approaches 1664.4. A few examples 1714.5. Prospects 1804.6. Conclusion 1854.7. Bibliography 186Chapter 5. Fretting Fatigue: Modeling and Applications 195Marie-Christine BAIETTO-DUBORG and Trevor LINDLEY5.1 Introduction 1955.2. Experimental methods 1985.3. Fretting fatigue analysis 2035.4. Applications under fretting conditions 2145.5. Palliatives to combat fretting fatigue 2245.6. Conclusions 2255.7 Bibliography 226Chapter 6. Contact Fatigue 231Ky DANG VAN6.1. Introduction 2316.2. Classification of the main types of contact damage 2326.3. A few results on contact mechanics 2396.4. Elastic limit 2486.5. Elastoplastic contact 2496.6. Application to modeling of a few contact fatigue issues 2546.7. Conclusion 2686.8. Bibliography 269Chapter 7?Ï?ÏThermal Fatigue 271Eric CHARKALUK and Luc REMY7.1. Introduction 2717.2. Characterization tests 2767.3. Constitutive and damage models at variable temperatures 2947.4. Applications 3147.5. Conclusion 3257.6. Bibliography 326List of Authors 339Index 341

Claude Bathias is Emeritus Professor at the University of 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 Compiègne. 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 ParisTech 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.

• Foreword xiStephen D. ANTOLOVICHChapter 1. Multiaxial Fatigue 1Marc BLETRY and Georges CAILLETAUD1.1 Introduction 11.2. Experimental aspects 121.3. Criteria specific to the unlimited endurance domain 151.4. Low cycle fatigue criteria 301.5. Calculating methods of the lifetime under multiaxial conditions 351.6. Conclusion 401.7. Bibliography 41Chapter 2. Cumulative Damage 47Jean-Louis CHABOCHE2.1. Introduction 472.2. Nonlinear fatigue cumulative damage 492.3. A nonlinear cumulative fatigue damage model 632.4. Damage law of incremental type 772.5. Cumulative damage under fatigue-creep conditions 952.6. Conclusion 1032.7. Bibliography 104Chapter 3. Damage Tolerance Design 111Raphael CAZES3.1. Background 1123.2. Evolution of the design concept of “fatigue” phenomenon 1123.3. Impact of damage tolerance on design 1153.4. Calculation of a “stress intensity factor” 1193.5. Performing some “damage tolerance” calculations 1273.6. Application to the residual strength of thin sheets 1313.7. Propagation of cracks subjected to random loading in the aeronautic industry 1353.8. Conclusion 1443.9. Damage tolerance within the gigacyclic domain 1473.10. Bibliography 149Chapter 4. Defect Influence on the Fatigue Behavior of Metallic Materials 151Gilles BAUDRY4.1. Introduction 1514.2. Some facts 1524.3. Approaches 1664.4. A few examples 1714.5. Prospects 1804.6. Conclusion 1854.7. Bibliography 186Chapter 5. Fretting Fatigue: Modeling and Applications 195Marie-Christine BAIETTO-DUBORG and Trevor LINDLEY5.1 Introduction 1955.2. Experimental methods 1985.3. Fretting fatigue analysis 2035.4. Applications under fretting conditions 2145.5. Palliatives to combat fretting fatigue 2245.6. Conclusions 2255.7 Bibliography 226Chapter 6. Contact Fatigue 231Ky DANG VAN6.1. Introduction 2316.2. Classification of the main types of contact damage 2326.3. A few results on contact mechanics 2396.4. Elastic limit 2486.5. Elastoplastic contact 2496.6. Application to modeling of a few contact fatigue issues 2546.7. Conclusion 2686.8. Bibliography 269Chapter 7?Ï?ÏThermal Fatigue 271Eric CHARKALUK and Luc REMY7.1. Introduction 2717.2. Characterization tests 2767.3. Constitutive and damage models at variable temperatures 2947.4. Applications 3147.5. Conclusion 3257.6. Bibliography 326List of Authors 339Index 341

Claude Bathias is Emeritus Professor at the University of 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 Compiègne. 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 ParisTech 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.

• Foreword xiStephen D. ANTOLOVICHChapter 1. Multiaxial Fatigue 1Marc BLETRY and Georges CAILLETAUD1.1 Introduction 11.2. Experimental aspects 121.3. Criteria specific to the unlimited endurance domain 151.4. Low cycle fatigue criteria 301.5. Calculating methods of the lifetime under multiaxial conditions 351.6. Conclusion 401.7. Bibliography 41Chapter 2. Cumulative Damage 47Jean-Louis CHABOCHE2.1. Introduction 472.2. Nonlinear fatigue cumulative damage 492.3. A nonlinear cumulative fatigue damage model 632.4. Damage law of incremental type 772.5. Cumulative damage under fatigue-creep conditions 952.6. Conclusion 1032.7. Bibliography 104Chapter 3. Damage Tolerance Design 111Raphael CAZES3.1. Background 1123.2. Evolution of the design concept of “fatigue” phenomenon 1123.3. Impact of damage tolerance on design 1153.4. Calculation of a “stress intensity factor” 1193.5. Performing some “damage tolerance” calculations 1273.6. Application to the residual strength of thin sheets 1313.7. Propagation of cracks subjected to random loading in the aeronautic industry 1353.8. Conclusion 1443.9. Damage tolerance within the gigacyclic domain 1473.10. Bibliography 149Chapter 4. Defect Influence on the Fatigue Behavior of Metallic Materials 151Gilles BAUDRY4.1. Introduction 1514.2. Some facts 1524.3. Approaches 1664.4. A few examples 1714.5. Prospects 1804.6. Conclusion 1854.7. Bibliography 186Chapter 5. Fretting Fatigue: Modeling and Applications 195Marie-Christine BAIETTO-DUBORG and Trevor LINDLEY5.1 Introduction 1955.2. Experimental methods 1985.3. Fretting fatigue analysis 2035.4. Applications under fretting conditions 2145.5. Palliatives to combat fretting fatigue 2245.6. Conclusions 2255.7 Bibliography 226Chapter 6. Contact Fatigue 231Ky DANG VAN6.1. Introduction 2316.2. Classification of the main types of contact damage 2326.3. A few results on contact mechanics 2396.4. Elastic limit 2486.5. Elastoplastic contact 2496.6. Application to modeling of a few contact fatigue issues 2546.7. Conclusion 2686.8. Bibliography 269Chapter 7?Ï?ÏThermal Fatigue 271Eric CHARKALUK and Luc REMY7.1. Introduction 2717.2. Characterization tests 2767.3. Constitutive and damage models at variable temperatures 2947.4. Applications 3147.5. Conclusion 3257.6. Bibliography 326List of Authors 339Index 341