Parametric Variational Principle Based Elastic-Plastic Analysis of Heterogeneous Materials With Voronoi Finite Element Method

ZHANG Hong-wu; WANG Hui

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(8): 904-912

ZHANG Hong-wu, WANG Hui. Parametric Variational Principle Based Elastic-Plastic Analysis of Heterogeneous Materials With Voronoi Finite Element Method[J]. Applied Mathematics and Mechanics, 2006, 27(8): 904-912.

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Parametric Variational Principle Based Elastic-Plastic Analysis of Heterogeneous Materials With Voronoi Finite Element Method

Department of Engineering Mechanics, State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, P. R. China

Received Date: 2005-08-16
Rev Recd Date: 2006-03-06
Publish Date: 2006-08-15

Abstract

Abstract

The Voronoi cell finite element method(VCFEM) is adopted to overcome the limitations of the classic displacement based finite element method in numerical simulation of heterogeneous materials.The parametric variational principle and quadratic programming method were developed for elastic-plastic Voronoi finite element analysis of two-dimensional problems.Finite element formulations were derived and a standard quadratic programming model was deduced from the elastic-plastic equations.Influence of microscopic heterogeneities on the overall mechanical response of heterogeneous materials is studied in detail.Numerical examples are presented to demonstrate the validity and effectiveness of the method developed.
- Voronoi finite element,
- parametric variational principle,
- quadratic programming method

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References

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