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Elastic-plastic analysis with parametric variational principle and Voronoi Cell finite element method

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Indexed by:会议论文

Date of Publication:2006-01-01

Included Journals:SCIE、CPCI-S

Page Number:520-524

Key Words:Voronoi Cell finite element method; parametric variational principle; quadratic programming method; heterogeneous materials

Abstract:A Voronoi Cell finite element method (VCFEM) based on the parametric variational principle (PVP) is developed within the framework of small deformation to predict the effective elastic-plastic properties of heterogeneous materials. The parametric minimum complementary energy principle is adopted to derive the finite element formulation of the Voronoi cell element and a standard quadratic programming model is deduced from the elastic-plastic equations. Numerical examples are given to validate the potential of the method developed in analyzing the influence of microscopic inclusions on the overall mechanical responses of heterogeneous materials.

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