Perturbation based stochastic finite element method for homogenization of two-phase elastic composites
Perturbation based stochastic finite element method for homogenization of two-phase elastic composites
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DOI：
10.1016/s0045-7949(00)00116-4
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发表时间：
2000-12
影响因子：
4.7
通讯作者：
M. Kaminski;M. Kleiber
中科院分区：
文献类型：
--
作者：
M. Kaminski;M. Kleiber
本文的主要思想是应用二阶摄动和随机二阶中心矩技术来解决均匀化问题。为了确定有效弹性张量，到目前为止，文献中讨论的流行计算方法是蒙特-卡罗模拟，提供适当的期望值和有效张量分量的高阶概率矩。在本文中应用的技术的目的是显着降低模拟的计算成本，而不牺牲解决方案的精度。数值例子证实了这一说法的情况下，周期性的纤维增强平面应变复合材料与随机纤维和矩阵杨氏模量。
The main idea of the paper is to apply the second order perturbation and stochastic second central moment technique to solve the homogenization problem. In order to determine the effective elasticity tensor, the prevailing computational methodology discussed in the literature so far was the Monte-Carlo simulation providing appropriate expected values and higher order probabilistic moments of the effective tensor components. The technique applied in this paper aims at significantly reducing the computational cost of the simulation without sacrificing the solution accuracy. The numerical example substantiates this claim in the case of a periodic fiber-reinforced plane strain composite with random fiber and matrix Young’s moduli.