2204 一次摂動法を用いた均質化法による繊維強化複合材料の確率応答特性解析(S14-1 応力集中と応答への取り組み,S14 先進材料の材料特性における弾性数理解析の新たな取り組み)

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This paper discusses a three-dimensional stochastic response analysis for a homogenization problem of fiber reinforced composites using the first-order perturbation method and the homogenization method. In addition to the homogenized elastic tensor, stochastic characteristics of homogenized elastic constants are investigated using the first-order perturbation method. Assuming an orthotropic material, a homogenized elastic constant is computed from a homogenized compliance matrix. Uncertainty of microscopic material property is taken into account in this paper. As a numerical example, stochastic characteristics of homogenized elastic tensor for a unidirectional fiber reinforced composites, which has periodic microstructure with hexagonal arrangement, is investigated. From the numerical results, effectiveness and limitation of the first-order perturbation method is illustrated
社団法人日本機械学会の論文
2007-09-07