SPECTRAL STOCHASTIC RETURN MAPPING ALGORITHM

Abstract

 This paper proposes a stochastic model to evaluate behaviour of non-linear elasto-plastic bodies with uncertain properties. This model is achieved by applying the first order spectral expansion to the return mapping algorithm, and is readily implemented in Spectral Stochastic Finite Element Method. The stochastic stress-strain relation is simulated and compared with a Monte-Carlo simulation to examine the validity of the proposed model. It is shown that this model enables efficient evaluations of the mean and variance of stochastic yielding.