Abstract
This paper discusses the stochastic homogenization analysis of a 2-dimensional porous material. A general porous material has randomly distributed voids in the material, and in order to control the shape and location of the voids, a rapid prototyping is employed in this paper. The porous material manufactured with a rapid prototyping will have periodically arranged voids, but those have some random variations caused by a photochemical process or mechanical errors. From this reason, the stochastic homogenization analysis is performed for evaluation of a random variation of the homogenized elastic property of the material. The Monte-Carlo simulation and the perturbation-based stochastic homogenization analysis are performed, and influence of the microscopic randomness on the homogenized material properties is investigated. Also, with comparison of an experimental data, applicability of the stochastic homogenization method to the evaluation is discussed.
