OS1412 摂動法を用いた粒子強化複合材料の確率均質化逆解析(OS14-3 複合材料・導電材料の弾性数理解析,OS-14 弾性数理解析の発展と新展開1)

Abstract

This paper describes a computational method for identifying a microscopic randomness of a particle reinforced composite material considering a microscopic uncertainty in an elastic property of component materials. Some reports on the stochastic homogenization analysis considering a microscopic random variation can be found in literatures. In these reports, it is assumed that the microscopic random variation is known. However, it is sometimes difficult to identify the microscopic random variation especially after a manufacturing process. Therefore, an identification procedure for a microscopic randomness from a homogenized elastic property of composite material will be needed. In the previous report, an inverse stochastic homogenization analysis using the Monte-Carlo simulation was proposed and necessity of reducing a computational cost was pointed out. In this paper, the perturbation-based approach is employed for the inverse stochastic homogenization analysis. With the numerical results, accuracy of the perturbation-based approach is investigated.