Table of Contents

Foreword xv

Preface xvii

Chapter 1. Introduction 1

Chapter 2. Preliminary Approach to Reliability in Mechanics 19

Chapter 3. Elementary R − S Case 39

Chapter 4. Isoprobabilistic Transformation 77

Chapter 5. Reliability Index 115

Chapter 6. Products of Reliability Analysis 147

Chapter 7. Probability of Failure 165

Chapter 8. Simulation Methods 233

Chapter 9. Reliability of Systems 265

Chapter 10. ‘Safety’ Coefficients 299

Chapter 11. Mechanical-Reliability Coupling 341

Chapter 12. Stochastic Finite Elements 391

Chapter 13. A Few Applications 441

Chapter 14. Conclusion 453

Bibliography 465

Annotations 481

A.1 Vectors and matrices 481

A.2 Operators 481

A.3 Random values 482

Index 485

About the Author

Maurice Lemaire is Emeritus Professor at the French Institute for Advanced Mechanics in Clermont-Ferrand, France and Scientific Advisor of Phimeca Engineering S.A.