Stochastic Propagation of Semi-Elliptical Surface Cracks

by Hiroaki Tanaka, Hiroshima Univ, Japan,
Akira Tsurui, Hiroshima Univ, Japan,



Document Type: Proceeding Paper

Part of: Structural Safety and Reliability

Abstract:

Random propagation of a semi-elliptical surface crack is investigated as a bivariate stochastic process. Under a few assumptions, a probability distribution of the surface crack propagation is first derived in a closed form, by applying the extended Markov approximation method. Next, a residual life distribution of the surface crack propagation is derived. Finally, the propagating equation is revised by taking the size effect into account, and a probability distribution of the life until the crack penetration is derived.

Subject Headings: Cracking | Stochastic processes | Probability distribution | Probability | Approximation methods | System reliability | Pipes

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