Structural Reliability

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 modeling 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 xvPreface xviiChapter 1. Introduction 1Chapter 2. Preliminary Approach to Reliability in Mechanics 19Chapter 3. Elementary R − S Case 39Chapter 4. Isoprobabilistic Transformation 77Chapter 5. Reliability Index 115Chapter 6. Products of Reliability Analysis 147Chapter 7. Probability of Failure 165Chapter 8. Simulation Methods 233Chapter 9. Reliability of Systems 265Chapter 10. ‘Safety’ Coefficients 299Chapter 11. Mechanical-Reliability Coupling 341Chapter 12. Stochastic Finite Elements 391Chapter 13. A Few Applications 441Chapter 14. Conclusion 453Bibliography 465Annotations 481A.1 Vectors and matrices 481A.2 Operators 481A.3 Random values 482Index 485