430 二次摂動法に基づく均質化法を用いた繊維強化複合材料の確率応答解析(OS5-2 応用,OS5 ものづくりを支える固体の数理解析と関東分野)

概要

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This paper discusses a stochastic response analysis using the second-order perturbation-based homogenization method for fiber reinforced composites. The perturbation method is used for estimating stochastic characteristics such as the expectation or variance of a homogenized elastic tensor or a homogenized equivalent elastic constant of FRP. Those stochastic characteristics will be estimated using the first-order perturbation based homogenization method in case of linear stochastic response of a homogenized elastic property however, a stochastic response in some other problems considering non-linearity or large stochastic variation cannot be estimated accurately using the first-order perturbation method. In this paper, therefore, the second-order perturbation-based homogenization method is used for the estimation. At first, an outline of the second-order perturbation-based homogenization method is introduced. Also, the perturbation-based procedure for computing a perturbation term of a homogenized equivalent elastic constant is introduced. Those methods are applied to a stochastic analysis for a homogenization problem of FRP. From the numerical results, effectiveness and a problem of the second-order perturbation method are illustrated.
一般社団法人日本機械学会の論文
2007-10-24