A material based finite element analysis of heterogeneous media involving Dirichlet tessellations
A material based finite element analysis of heterogeneous media involving Dirichlet tessellations
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DOI：
10.1016/0045-7825(93)90198-7
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发表时间：
1993-04
影响因子：
7.2
通讯作者：
Somnath Ghosh;S. N. Mukhopadhyay
中科院分区：
文献类型：
--
作者：
Somnath Ghosh;S. N. Mukhopadhyay
本文提出了一种新的有限元列式，用于分析第二相随机分散在基体中的非均匀介质。它介绍了一种基于曲面细分的网格生成技术，以考虑到第二阶段的位置，形状和大小的任意性。一个假设的应力混合配方已被实施，以利用由此产生的Voronoi多边形作为有限元模型中的元素。第二相的效果已占通过引入基于转化应变的本构制剂。数值算例验证了模型的有效性。
In this paper, a new finite element formulation has been developed for analysis of heterogeneous media, in which the second phase is randomly dispersed within the matrix. It introduces a tessellation based mesh generation technique to account for the arbitrariness in location, shape and size of the second phase. An assumed stress hybrid formulation has been implemented to utilize the resulting Voronoi polygons as elements in a finite element model. The effect of the second phase has been accounted for by introducing a transformation strain based constitutive formulation. Numerical examples have been conducted to validate the model.