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