Analysis of Fatigue Crack Propagation Under Random Loading by Markov Chain

by M. Yuasa, Kobe Univ, Japan,
T. Nakagawa, Kobe Univ, Japan,
H. Tokuno, Kobe Univ, Japan,



Document Type: Proceeding Paper

Part of: Structural Safety and Reliability

Abstract:

Fatigue crack propagation is simulated in terms of a discrete Markov process considering both the randomness of crack propagation resistance and the randomness of external loading, which are the major sources of variability of fatigue crack propagation. This stochastic simulation for fatigue crack propagation is such that the characteristics of residual life distribution and the distribution of a crack length at an arbitrary time are obtained when the initial distribution of crack length and the transition of its central tendency are given. This research is considered as the foothold to establish the appropriate stochastic model on fatigue crack propagation with more wide applications to the practical design of machines and structures.

Subject Headings: Cracking | Markov process | Stochastic processes | Fatigue (material) | Probability | Materials processing | Load factors

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