Probabilistic Finite Element Method

Abstract

It is becoming increasingly evident that traditional deterministic methods will not be sufficient to properly design advanced structures or structural components subjected to a variety of complex loading conditions. Because of uncertainty in loading conditions, material behavior, geometric configuration, and supports, the stochastic computational mechanics, which accounts for all these uncertain aspects, must be applied to provide rational reliability analysis and to describe the behavior of the structure. The fundamentals of stochastic computational mechanics and its application to the analysis of uncertain structural systems are summarized and recapitulated in a book by Liu and Belytschko (1989).