Inverse Stochastic Homogenization Analysis for a Particle-Reinforced Composite Material with the Perturbation-Based Approach

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  • 摂動法を用いた粒子強化複合材料の確率均質化逆解析

Abstract

This paper discusses the inverse stochastic homogenization analysis for a particle-reinforced composite material. The homogenization analysis is performed with the homogenization theory, and the stochastic analysis is performed with the perturbation-based approach. In order to analyze the inverse stochastic homogenization problem, which aims to identify the coefficient of variances of the randomly varied elastic properties of component materials from the probabilistic characteristics of the homogenized elastic properties, the inverse stochastic homogenization method with the perturbation-based technique is proposed. The probabilistic properties of the homogenized elastic properties, which are obtained from an experiment or the Monte-Carlo simulation, are assumed to be known and used in the inverse stochastic homogenization analysis. The inverse stochastic homogenization problems with considering a single- or multi-variation of the elastic properties of the component materials are solved, and from the numerical results, accuracy and effectiveness of the proposed method are discussed.

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