Table of Contents
International Journal of Quality, Statistics, and Reliability
Volume 2011, Article ID 718901, 10 pages
Research Article

Probabilistic Modeling of Fatigue Damage Accumulation for Reliability Prediction

1Department of Mechanical Engineering, Malaviya National Institute of Technology, Jaipur 302017, India
2Department of Industrial and Manufacturing Engineering, North Dakota State University, Fargo, ND 58108, USA

Received 2 December 2010; Revised 15 March 2011; Accepted 16 March 2011

Academic Editor: Ajit K. Verma

Copyright © 2011 Vijay Rathod et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A methodology for probabilistic modeling of fatigue damage accumulation for single stress level and multistress level loading is proposed in this paper. The methodology uses linear damage accumulation model of Palmgren-Miner, a probabilistic - curve, and an approach for a one-to-one transformation of probability density functions to achieve the objective. The damage accumulation is modeled as a nonstationary process as both the expected damage accumulation and its variability change with time. The proposed methodology is then used for reliability prediction under single stress level and multistress level loading, utilizing dynamic statistical model of cumulative fatigue damage. The reliability prediction under both types of loading is demonstrated with examples.