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Probabilistic cumulative damage model to estimate fatigue life
Authors:J. M. A. Pinto  J. C. F. Pujol  C. A. Cimini Jr
Affiliation:1. Faculdade de Engenharia e Arquitetura, Universidade FUMEC, , Belo Horizonte, Brazil;2. Centro de Desenvolvimento da Tecnologia Nuclear, , Belo Horizonte, Brazil;3. Structural Engineering, Universidade Federal de Minas Gerais, , Belo Horizonte, Brazil
Abstract:This paper introduces a numerical model to estimate fatigue life under step‐stress conditions, using the Weibull and lognormal distributions. The maximum likelihood method was used to estimate the free parameters of the distributions. The model was fitted to an experimental data on fatigue life in the specimens of steel SAE 8620, by using evolutionary computation to optimize the likelihood function. Results are reported on the values of the parameters and their confidence interval. Also, a validation of the model is discussed using analysis of residuals.
Keywords:fatigue  weibull distribution  lognormal distribution  step‐stress  maximum likelihood estimation  evolutionary computation  analysis of residuals
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