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.
Voronoi Cell Finite Element Model for Thermoelastoplastic Deformation in Random Heterogeneous Media
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Moorthy, S., Ghosh, S., and Liu, Y. (January 1, 1994). "Voronoi Cell Finite Element Model for Thermoelastoplastic Deformation in Random Heterogeneous Media." ASME. Appl. Mech. Rev. January 1994; 47(1S): S207–S220. https://doi.org/10.1115/1.3122815
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