Abstract
This paper discusses a multiscale stochastic stress analysis of a heterogeneous material via the stochastic homogenization analysis. In particular, a nonuniform microscopic random variation is taken into account in this paper. The influence of the nonuniformity on the random variation of the microscopic stresses is investigated. Monte-Carlo simulation or the first order perturbation-based stochastic homogenization method is employed for the analysis. The Coefficient of Variance (CV) of the microscopic stress is analyzed for several cases of nonuniform microscopic random variations. With the numerical results, influence of the nonuniform microscopic random variation on the CVs of the microscopic stresses is discussed. Also, applicability of the perturbation method to the analysis is investigated in comparison with the Monte-Carlo simulation
