Statistical Cumulative Damage Theory for Fatigue Life Prediction

[+] Author and Article Information
Z. Hashin

Department of Solid Mechanics, Materials and Structures, Tel-Aviv University, Tel-Aviv, Israel

J. Appl. Mech 50(3), 571-579 (Sep 01, 1983) (9 pages) doi:10.1115/1.3167093 History: Received April 01, 1982; Revised March 01, 1983; Online July 21, 2009


A statistical cumulative damage theory is developed with the purpose of prediction of mean, standard deviation and probability density of fatigue lifetime of randomly variable specimens subjected to the same deterministic cyclic loading program. The theory requires availability of a deterministic cumulative damage theory for ideal nonvariable specimens, called clones. Detailed analysis is given for two-stage cyclic loading based on a previously developed deterministic cumulative damage theory and log-normal distribution of S—N curve lifetimes. Results indicate that the usual interpretation of deterministic cumulative damage theory in terms of means of lifetimes is not valid for significant scatter. Preliminary experimental results for two-stage loading are compared with analytical predictions.

Copyright © 1983 by ASME
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