Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2007-01-01

Journal: FINITE ELEMENTS IN ANALYSIS AND DESIGN

Included Journals: EI、SCIE

Volume: 43

Issue: 3

Page Number: 206-217

ISSN: 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.