Stochastic homogenization analysis on elastic properties of fiber reinforced composites using the equivalent inclusion method and perturbation method

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:45

Article

Sakata, S.¹  Ashida, F.¹  Kojima, T.¹ 

[1] Shimane Univ, Interdisciplinary Fac Sci & Engn, Dept Elect & Control Syst Engn, Matsue, Shimane 6908504, Japan

关键词: Stochastic homogenization problem;    Perturbation method;    Equivalent inclusion method;    Homogenized elastic tensor;    Microscopic Uncertainty;   

DOI  :  10.1016/j.ijsolstr.2008.08.017

来源: Elsevier

【 摘 要 】

This paper describes a methodology for evaluation of influence of microscopic uncertainty in material properties and geometry of a microstructure on a homogenized macroscopic elastic property of an inhomogeneous material. For the analysis of the stochastic characteristics of a homogenized elastic property, the first-order perturbation method is used. In order to analyze the influence of microscopic geometrical uncertainty, the perturbation-based equivalent inclusion method is formulated. In this paper, an analytical form of the perturbation term using the equivalent inclusion method is provided. As a numerical example, macroscopic stochastic characteristics such as an expected value or variance of the homogenized elastic tensor of a unidirectional fiber reinforced plastic, which is caused by microscopic uncertainty in material properties or geometry of a microstructure, are estimated with computing the first order perturbation term of the homogenized elastic tensor. Compared the results of the proposed method with the results of the Monte-Carlo simulation, validity, effectiveness and a limitation of the perturbation-based homogenization method is investigated. (C) 2008 Elsevier Ltd. All rights reserved.

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