Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi cell finite element method
type: Item
instance of: scholarly article
title: Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi cell finite element method
zbMATH Open document ID: 0853.73065
DOI: 10.1016/0045-7825(94)00687-I
author: Somnath Ghosh
author: Suresh Moorthy
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-12-16T00:00:00Z
review text: A Voronoi cell finite element method is developed to solve small deformation elasto-plasticity problems for arbitrary heterogeneous materials. Dirichlet tessellation of microstructural representative materials results in a network of arbitrary-sided polygons called Voronoi cells. Each Voronoi cell encompasses one second phase heterogeneity at most. These are natural elements for the microstructure, representing the basic structural elements of the material. In this paper, formulations are developed for directly considering Voronoi cells as elements in a finite element model without any further dissection. Furthermore, a composite Voronoi cell finite element method is developed to account for the presence of the second phase within each polygonal element.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 881082
zbMATH Keywords: small deformation elasto-plasticity problems
zbMATH Keywords: Dirichlet tessellation
zbMATH Keywords: microstructural representative materials
zbMATH Keywords: second phase heterogeneity
zbMATH Keywords: polygonal element
MaRDI profile type: Publication
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full work available at URL: 0045-7825(94)00687-i
OpenAlex ID: W2156883076
description: scientific article; zbMATH DE number 881082