Reliability analysis of brittle systems considering several random variables

✍ Scribed by T.Y. Kam; C.D. Lu

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 580 KB
• Volume: 33
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(89)90053-2

✦ Synopsis

A&&ra&--A previously proposed method for the reliability analysis of brittle structures subjected to thermal shocks is extended to include the uncertainties about the ma~itudes of the applied thermal shocks and the fracture strength of the brittle materials. Flaws with a given probability distribution of size are a,wmteci to be distributed at random with a certain density per unit volume of the composed material. A probabilistic failure model in which all kinds of uncertainties can be included is presented to study the probability of crack instability of a unit volume of brittle material. The reliabilities of brittle thermal systems are evaluated based on the weakest-link hypothesis and the proposed probabilistic failure model. A numerical example is given to demonstrate the application of the present method.