A Weakest-Link Model for the Prediction of Fatigue Crack Growth Rate

[+] Author and Article Information
Kong Ping Oh

Engineering Mechanics Department, General Motors Research Laboratories, General Motors Technical Center, Warren, Mich.

J. Eng. Mater. Technol 100(2), 170-174 (Apr 01, 1978) (5 pages) doi:10.1115/1.3443467 History: Received February 04, 1977; Revised February 03, 1978; Online August 17, 2010


A weakest-link theory is proposed for analyzing the rate of fatigue crack growth. The joint probability density of a fatigue crack growing an amount X between x and x+dx, and in time η between N and N+dN cycles is derived from an initial probability function. The rate of crack growth is then obtained as the expectation of the random variable (X/η). It is shown that the average rate of crack growth obeys the power law for small ΔK, and that the power is a function of the shape parameter in the Weibull distribution.

Copyright © 1978 by ASME
Topics: Fatigue cracks
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