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

The design of mechanical structures with predictable and improved
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 researchers in the field, this book, along with
the complementary books Fatigue of Materials and Structures:
Fundamentals and Application to Damage and Design (both 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.



This book deals with multiaxial fatigue, thermomechanical
fatigue, fretting-fatigue, influence of defects on fatigue life,
cumulative damage and damage tolerance, and will be an important
and much used reference for students, practicing engineers and
researchers studying fracture and fatigue in numerous areas of
materials science and engineering, mechanical, nuclear and
aerospace engineering.

Table of Content

Foreword xi

Stephen D. ANTOLOVICH

Chapter 1. Multiaxial Fatigue 1

Marc BLETRY and Georges CAILLETAUD

1.1 Introduction 1

1.2. Experimental aspects 12

1.3. Criteria specific to the unlimited endurance domain 15

1.4. Low cycle fatigue criteria 30

1.5. Calculating methods of the lifetime under multiaxial
conditions 35

1.6. Conclusion 40

1.7. Bibliography 41

Chapter 2. Cumulative Damage 47

Jean-Louis CHABOCHE

2.1. Introduction 47

2.2. Nonlinear fatigue cumulative damage 49

2.3. A nonlinear cumulative fatigue damage model 63

2.4. Damage law of incremental type 77

2.5. Cumulative damage under fatigue-creep conditions 95

2.6. Conclusion 103

2.7. Bibliography 104

Chapter 3. Damage Tolerance Design 111

Raphael CAZES

3.1. Background 112

3.2. Evolution of the design concept of ‘fatigue’
phenomenon 112

3.3. Impact of damage tolerance on design 115

3.4. Calculation of a ‘stress intensity factor’
119

3.5. Performing some ‘damage tolerance’ calculations
127

3.6. Application to the residual strength of thin sheets 131

3.7. Propagation of cracks subjected to random loading in the
aeronautic industry 135

3.8. Conclusion 144

3.9. Damage tolerance within the gigacyclic domain 147

3.10. Bibliography 149

Chapter 4. Defect Influence on the Fatigue Behavior of
Metallic Materials 151

Gilles BAUDRY

4.1. Introduction 151

4.2. Some facts 152

4.3. Approaches 166

4.4. A few examples 171

4.5. Prospects 180

4.6. Conclusion 185

4.7. Bibliography 186

Chapter 5. Fretting Fatigue: Modeling and Applications
195

Marie-Christine BAIETTO-DUBORG and Trevor LINDLEY

5.1 Introduction 195

5.2. Experimental methods 198

5.3. Fretting fatigue analysis 203

5.4. Applications under fretting conditions 214

5.5. Palliatives to combat fretting fatigue 224

5.6. Conclusions 225

5.7 Bibliography 226

Chapter 6. Contact Fatigue 231

Ky DANG VAN

6.1. Introduction 231

6.2. Classification of the main types of contact damage 232

6.3. A few results on contact mechanics 239

6.4. Elastic limit 248

6.5. Elastoplastic contact 249

6.6. Application to modeling of a few contact fatigue issues
254

6.7. Conclusion 268

6.8. Bibliography 269

Chapter 7?Ï?ÏThermal Fatigue 271

Eric CHARKALUK and Luc REMY

7.1. Introduction 271

7.2. Characterization tests 276

7.3. Constitutive and damage models at variable temperatures
294

7.4. Applications 314

7.5. Conclusion 325

7.6. Bibliography 326

List of Authors 339

Index 341

About the author

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 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.