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 -