Modeling Metallic Fatigue Data Using the Birnbaum–Saunders Distribution

Metals, vol. 14, pp. 508

Abstract

This work employs the Birnbaum–Saunders distribution to model the fatigue-life of metallic materials under cyclic loading and compares it with the normal distribution. Fatigue-limit models are fitted to three datasets of unnotched specimens of 75S-T6 aluminum alloys and carbon laminate with different loading types. A new equivalent stress definition that accounts for the effect of the experiment type is proposed. The results show that the Birnbaum–Saunders distribution consistently outperforms the normal distribution in fitting the fatigue data and provides more accurate predictions of fatigue-life and survival probability.

Authors 3

1. Zaid Sawlan corresponding

   King Fahd University of Petroleum and Minerals

   Affiliation as printed

   Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

   Interdisciplinary Research Center for Refining & Advanced Chemicals, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

2. Marco Scavino

   Universidad de la República de Uruguay

   Affiliation as printed

   Instituto de Estadística (IESTA), Departamento de Métodos Cuantitativos, FCEA, Universidad de la República, Montevideo 11200, Uruguay

3. Raul F. Tempone Aachen Chair of Mathematics for Uncertainty Quantification

   RWTH Aachen University · King Abdullah University of Science and Technology

   Affiliation as printed

   Chair of Mathematics for Uncertainty Quantification, RWTH Aachen University, 52072 Aachen, Germany

   Computer, Electrical and Mathematical Sciences and Engineering, King Abdullah University of Science and Technology, Thuwal 23955, Saudi Arabia