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A Stochastic Model for Low-Cycle Elastic-Plastic Fatigue Crack Growth

by Faisal H. AL-Sugair, Stanford Univ, United States,
Anne S. Kiremidjian, Stanford Univ, United States,



Document Type: Proceeding Paper

Part of: Probabilistic Methods in Civil Engineering

Abstract:

In this paper a stochastic process approach is considered to represent the random nature of the low-cycle (elastic-plastic) fatigue crack growth process. A semi-Markov renewal model is used to describe the fatigue crack growth process in the elastic-plastic region. The event interarrival times for this process are assumed to be gamma distributed. The holding time and transition probabilities of the process are derived from the event interarrival times distributions. As an example, the parameters of the gamma distributed event interarrival times are obtained from data on A533B pressure vessel steel samples. Comparison of results from the model to the observed data show that the model predicts well the time it takes to reach certain crack lengths.

Subject Headings: Stochastic processes | Cracking | Fatigue (material) | Mathematical models | Probability | Pressure vessels | Elastic analysis

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