@inproceedings{939e394313114cbbad042105844afe5b,
title = "Bayesian fatigue damage and reliability analysis using Laplace approximation and inverse reliability method",
abstract = "This paper presents an efficient analytical Bayesian method for reliability and system response estimate and update. The method includes additional data such as measurements to reduce estimation uncertainties. Laplace approximation is proposed to evaluate Bayesian posterior distributions analytically. An efficient algorithm based on inverse first-order reliability method is developed to evaluate system responses given a reliability level. Since the proposed method involves no simulations such as Monte Carlo or Markov chain Monte Carlo simulations, the overall computational efficiency improves significantly, particularly for problems with complicated performance functions. A numerical example and a practical fatigue crack propagation problem with experimental data are presented for methodology demonstration. The accuracy and computational efficiency of the proposed method is compared with simulation-based methods.",
author = "Xuefei Guan and Jingjing He and Ratneshwar Jha and Yongming Liu",
year = "2014",
language = "English (US)",
series = "Proceedings of the Annual Conference of the Prognostics and Health Management Society 2011, PHM 2011",
publisher = "Prognostics and Health Management Society",
pages = "94--103",
editor = "Abhinav Saxena and Sankalita Saha and Celaya, {Jose R.}",
booktitle = "Proceedings of the Annual Conference of the Prognostics and Health Management Society 2011, PHM 2011",
note = "2011 Annual Conference of the Prognostics and Health Management Society, PHM 2011 ; Conference date: 25-09-2011 Through 29-09-2011",
}