This book describes the main methods used in the reliability of structures and their use in the design process leading to reliable products. This title provides the understanding needed to implement the variety of new reliability software programs.
Maurice Lemaire is professor at the French Institute for Advanced Mechanics in Clermont-Ferrand and head of the research group on mechanics and engineering. His works deal with the numerical modelling of the structures and their probabilistic approaches. He directed numerous doctorate theses and took part in many industrial studies in partnership with industrial companies. An active member of several associations, he takes part in the development of the probabilistic methods for both research and for the technical applications.
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