标题：Stochastic Homogenization Analysis of a Particle Reinforced Composite Material using an Approximate Monte-Carlo Simulation with the Weighted Least Square Method
期刊名称：Journal of Computational Science and Technology
电子版ISSN：1881-6894
出版年度：2013
卷号：7
期号：1
页码：1-11
DOI：10.1299/jcst.7.1
出版社：The Japan Society of Mechanical Engineers
摘要：This paper describes a stochastic homogenization analysis of a particle reinforced composite material using an approximation technique. In order to analyze the influence of a microscopic random variation of an elastic property of a component material on the homogenized elastic property of a particle reinforced composite material, the Monte-Carlo simulation is employed. Since the conventional Monte-Carlo simulation sometimes involves a higher computational cost, an approximate stochastic homogenization method using the Monte-Carlo simulation combined with a polynomial-based approximation technique is employed, and accuracy of the approximate Monte-Carlo simulation is investigated. In order to apply a lower order approximation to the approximate Monte-Carlo simulation effectively, the weighted least square method is proposed, and its effectiveness is discussed with the numerical results.
关键词：Stochastic Homogenization Analysis;Approximate Monte-Carlo Simulation;Weighted Least Square Method;Particle Reinforced Composite Material
