Fracture Mechanics 2 by Grous, Ammar -- Read -- Imperial Library of Trantor

Index

Cover Contents Title Copyright Preface Glossary Chapter 1: Fracture Mechanisms by Fatigue

1.1. Introduction 1.2. Principal physical mechanisms of cracking by fatigue 1.3. Modes of fracture 1.4. Fatigue of metals: analytical expressions used in reliability 1.5. Reliability models commonly used in fracture mechanics by fatigue 1.6. Main common laws retained by fracture mechanics 1.7. Stress intensity factors in fracture mechanics 1.8. Intrinsic parameters of the material (C and m) 1.9. Fracture mechanics elements used in reliability 1.10. Crack rate (life expectancy) and s.i.f. (Kσ) 1.11. Elements of stress (S) and resistance theory (R) 1.12. Conclusion 1.13. Bibliography

Chapter 2: Analysis Elements for Determining the Probability of Rupture by Simple Bounds

2.1. Introduction 2.2. Second-order bounds or Ditlevsen’s bounds 2.3. Hohenbichler’s method 2.4. Hypothesis test, through the example of a normal average with unknown variance 2.5. Confidence interval for estimating a normal mean: unknown variance 2.6. Conclusion 2.7. Bibliography

3.1. Introduction to the Bayesian method used to evaluate reliability 3.2. Posterior distribution and conjugate models 3.3. Conditional probability or Bayes’ law 3.4. Anterior and posterior distributions 3.5. Reliability analysis by moments methods, FORM/SORM 3.6. Control margins from the results of fracture mechanics 3.7. Bayesian model by exponential gamma distribution 3.8. Homogeneous Poisson process and rate of occurrence of failure 3.9. Estimating the maximum likelihood 3.10. Repair rate or ROCOF 3.11. Bayesian case study applied in fracture mechanics 3.12. Conclusion 3.13. Bibliography

Chapter 4: Elements of Analysis for the Reliability of Components by Markov Chains

4.1. Introduction 4.2. Applying Markov chains to a fatigue model 4.3. Case study with the help of Markov chains for a fatigue model 4.4 Conclusion 4.5 Bibliography

Chapter 5: Reliability Indices

5.1. Introduction 5.2. Design of material and structure reliability 5.3. First-order reliability method 5.4. Second-order reliability method 5.5. Cornell’s reliability index 5.6. Hasofer-Lind’s reliability index 5.7. Reliability of material and structure components 5.8. Reliability of systems in parallels and series 5.9. Conclusion 5.10. Bibliography

Chapter 6: Fracture Criteria Reliability Methods through an Integral Damage Indicator

Chapter 7: Monte Carlo Simulation

7.1. Introduction 7.2. Simulation of a singular variable of a Gaussian 7.3. Determining safety indices using Monte Carlo simulation 7.4. Applied mathematical techniques to generate random numbers by MC simulation on four principle statistical laws 7.5. Conclusion 7.6. Bibliography

Chapter 8: Case Studies

Appendix Index