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Indexed by:期刊论文

Date of Publication:2007-01-01

Journal:FINITE ELEMENTS IN ANALYSIS AND DESIGN

Included Journals:SCIE、EI

Volume:43

Issue:3

Page Number:206-217

ISSN No.:0168-874X

Key Words:polygonal finite element method; Voronoi cell finite element method; parametric variational principle; quadratic programming method

Abstract:Parametric variational principle based polygonal finite element method (PFEM) and Voronoi cell finite element method (VCFEM) are developed for the numerical simulations of the elastic-plastic mechanical behavior of heterogeneous materials under small deformation. The shape functions for the polygonal element are given and the parametric potential energy principle of the elastic-plastic system is verified. Based on the parametric complementary energy principle, the formulations of VCFEM and the corresponding parametric quadratic programming model are deduced for the elastic-plastic analysis of materials. Numerical examples are computed to demonstrate the validity and efficiency of the methods developed. (c) 2006 Elsevier B.V. All rights reserved.