Failure Analysis and Prevention
Analysis Methods for Probabilistic Life Assessment
This article describes the historical background, uncertainties in structural parameters, classifications, and application areas of probabilistic analysis. It provides a discussion on the basic definition of random variables, some common distribution functions used in engineering, selection of a probability distribution, the failure model definition, and a definition of the probability of failure. The article also explains the solution techniques for special cases and general solution techniques, such as first-second-order reliability methods, the advanced mean value method, the response surface method, and Monte Carlo sampling. A brief introduction to importance sampling, time-variant reliability, system reliability, and risk analysis and target...
Harry R. Millwater, Jr., Paul H. Wirsching, Analysis Methods for Probabilistic Life Assessment, Failure Analysis and Prevention, Vol 11, Edited By William T. Becker, Roch J. Shipley, ASM International, 2002, p 250–268, https://doi.org/10.31399/asm.hb.v11.a0003514
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