TY - GEN

T1 - Failure of random materials

T2 - 2011 Winter Simulation Conference, WSC 2011

AU - Liu, Jingchen

AU - Zhou, Xiang

AU - Patra, Rohit

AU - Weinan, E.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84863238075&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84863238075&partnerID=8YFLogxK

U2 - 10.1109/WSC.2011.6148070

DO - 10.1109/WSC.2011.6148070

M3 - Conference contribution

AN - SCOPUS:84863238075

SN - 9781457721083

T3 - Proceedings - Winter Simulation Conference

SP - 3779

EP - 3789

BT - Proceedings of the 2011 Winter Simulation Conference, WSC 2011

Y2 - 11 December 2011 through 14 December 2011

ER -