Failure of random materials: A large deviation and computational study

Jingchen Liu, Xiang Zhou, Rohit Patra, E. Weinan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

We study the problem of estimating small failure probabilities for elastic random material described by a one dimensional stochastic elliptic differential equation with certain external forcing and boundary conditions. Gaussian random functions are used to model the spatial variation of the material parameters. The failure event of the bulk material is simply characterized by the exceeding of certain thresholds for the maximum strain in the material. Using large deviation heuristics, we provide an intuitive description of the most probable realization of the random material parameters leading to critical situations of material failure. An efficient Monte Carlo method to compute such probabilities is presented.

Original languageEnglish (US)
Title of host publicationProceedings of the 2011 Winter Simulation Conference, WSC 2011
Pages3779-3789
Number of pages11
DOIs
StatePublished - 2011
Event2011 Winter Simulation Conference, WSC 2011 - Phoenix, AZ, United States
Duration: Dec 11 2011Dec 14 2011

Publication series

NameProceedings - Winter Simulation Conference
ISSN (Print)0891-7736

Other

Other2011 Winter Simulation Conference, WSC 2011
CountryUnited States
CityPhoenix, AZ
Period12/11/1112/14/11

All Science Journal Classification (ASJC) codes

  • Software
  • Modeling and Simulation
  • Computer Science Applications

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    Liu, J., Zhou, X., Patra, R., & Weinan, E. (2011). Failure of random materials: A large deviation and computational study. In Proceedings of the 2011 Winter Simulation Conference, WSC 2011 (pp. 3779-3789). [6148070] (Proceedings - Winter Simulation Conference). https://doi.org/10.1109/WSC.2011.6148070