On Perturbation-Based Stochastic Homogenization Analysis for a Homogenized Equivalent Elastic Constant of FRP Using the Equivalent Inclusion Method
On Perturbation-Based Stochastic Homogenization Analysis for a Homogenized Equivalent Elastic Constant of FRP Using the Equivalent Inclusion Method
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基于扰动的等效包含法均匀化玻璃钢等效弹性常数随机均匀化分析
DOI：
10.1299/jmmp.3.552
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Tomoyuki Kojima
中科院分区：
文献类型：
--
作者：
S. Sakata;F. Ashida;Tomoyuki Kojima
本文讨论了一种基于摄动的纤维增强复合材料随机均匀化分析方法。为了估计复合材料的均匀化等效弹性常数的随机特性的材料性能或微观结构的几何形状的微观随机变化的目的，一阶摄动技术被应用到等效包含方法。在正交各向异性材料的情况下，均匀化等效弹性常数可以由均匀化柔度计算，因此，均匀化柔度的微扰项也可以计算。数值结果表明了该方法的正确性和有效性。
This paper discusses a perturbation-based stochastic homogenization analysis procedure for a fiber reinforced composite material. For the purpose of estimating a stochastic characteristic of a homogenized equivalent elastic constant of composites for a microscopic random variation of a material property or geometry of a microstructure, the first order perturbation technique is applied to the equivalent inclusion method. The homogenized equivalent elastic constants can be computed from a homogenized compliance in case of an orthotropic material, therefore, the perturbation term of the homogenized compliance for a microscopic random variation is also computed. From numerical results, validity and effectiveness of the proposed method are illustrated.