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REVIEW ARTICLES: Computational Micromechanics

Voronoi Cell Finite Element Model for Thermoelastoplastic Deformation in Random Heterogeneous Media

[+] Author and Article Information
Suresh Moorthy, Somnath Ghosh, Yunshan Liu

Department of Engineering Mechanics, The Ohio State University, Columbus, OH 43210

Appl. Mech. Rev 47(1S), S207-S220 (Jan 01, 1994) doi:10.1115/1.3122815 History: Online April 29, 2009

Abstract

A finite element model has been developed for analysis of heterogeneous media, in which second phase inclusions are arbitrarily dispersed within a matrix. A mesh generator based on Dirichlet tessellation, discretizes the heterogeneous domain, accounting for the arbitrariness in location, shape and size of the second phase. This results in a network of convex “Voronoi” polygons which form the elements in a finite element mesh. An assumed stress hybrid formulation has been implemented for accommodating arbitrary multi-sided elements in the finite element model. Composite element formulations have been developed to incorporate the effect of second phase within each element. Formulations have been developed for thermo-elasticity, micropolar elasticity and elasto-plasticity.

Copyright © 1994 by American Society of Mechanical Engineers
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