Three-dimensional stochastic analysis using a perturbation-based homogenization method for elastic properties of composite material considering microscopic uncertainty

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:45

Article

Sakata, S.¹  Ashida, F.¹  Kojima, T.¹  Zako, M.² 

[1] Shimane Univ, Interdisciplinary Fac Sci & Engn, Dept Elect & Control Syst Engn, Matsue, Shimane 690, Japan

[2] Osaka Univ, Grad Sch Engn, Dept Management Ind & Technol, Suita, Osaka 5650871, Japan

关键词: microscopic uncertainty;    stochastic response;    perturbation method;    composite material;    homogenized elasticity;    homogenization method;   

DOI  :  10.1016/j.ijsolstr.2007.09.008

来源: Elsevier

【 摘 要 】

This paper discusses evaluation of influence of microscopic uncertainty on a homogenized macroscopic elastic property of an inhomogeneous material. In order to analyze the influence, the perturbation-based homogenization method is used. A higher order perturbation-based analysis method for investigating stochastic characteristics of a homogenized elastic tensor and an equivalent elastic property of a composite material is formulated. As a numerical example, macroscopic stochastic characteristics such as an expected value or variance, which is caused by microscopic uncertainty in material properties, of a homogenized elastic tensor and homogenized equivalent elastic property of unidirectional fiber reinforced plastic are investigated. The macroscopic stochastic variation caused by microscopic uncertainty in component materials such as Young's modulus or Poisson's ratio variation is evaluated using the perturbation-based homogenization method. The numerical results are compared with the results of the Monte-Carlo simulation, validity, effectiveness and a limitation of the perturbation-based homogenization method is investigated. With comparing the results using the first-order perturbation-based method, effectiveness of a higher order perturbation is also investigated. (c) 2007 Elsevier Ltd. All rights reserved.

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