Local Integration Method in Stochastic Finite Element Analysis

Abstract

This paper, introducing local integration method, proposes a new stochastic finite element method for estimating the response variability of multi-dimensional stochastic systems. Young's modulus is considered to have spatial variation and is idealized as a multi-dimensional, continuous, Gaussian, stochastic field. An essential feature of the proposed method is that the continuous stochastic field is rigorously taken care of by means of local integrations to construct element stiffness matrices, as the results, the issue involving the stochastic field is transformed into a problem involving only a few random variables. This may lead to substantial improvement in computational efficiency. In order to examine the validity and efficiency of the method, numerical examples are presented.

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