| PARAMETRIC VARIATIONAL PRINCIPLE BASED ELASTIC-PLASTIC ANALYSIS OF HETEROGENEOUS MATERIALS WITH VORONOI FINITE ELEMENT METHOD |
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| 引用本文： | 张洪武,王辉. PARAMETRIC VARIATIONAL PRINCIPLE BASED ELASTIC-PLASTIC ANALYSIS OF HETEROGENEOUS MATERIALS WITH VORONOI FINITE ELEMENT METHOD[J]. 应用数学和力学(英文版), 2006, 27(8): 1037-1047. DOI: 10.1007/s 10483-006-0804-1 |
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| 作者姓名： | 张洪武 王辉 |
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| 作者单位： | Department of Engineering Mechanics State Key Laboratory for Structural Analysis of Industrial Equipment Dalian University of Technology，Dalian 116024，P. R. China，Department of Engineering Mechanics，State Key Laboratory for Structural Analysis of Industrial Equipment Dalian University of Technology，Dalian 116024，P. R. China |
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| 基金项目： | 国家自然科学基金;国家重点基础研究发展计划(973计划) |
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| 摘 要： | The Voronoi cell finite element method (VCFEM) is adopted to overcome the limitations of the classic displacement based finite element method in the numerical simulation of heterogeneous materials. The parametric variational principle and quadratic programming method are developed for elastic-plastic Voronoi finite element analysis of two-dimensional problems. Finite element formulations are derived and a standard quadratic programming model is deduced from the elastic-plastic equations. Influence of microscopic heterogeneities on the overall mechanical response of heterogeneous materials is studied in detail. The overall properties of heterogeneous materials depend mostly on the size, shape and distribution of the material phases of the microstructure. Numerical examples are presented to demonstrate the validity and effectiveness of the method developed.
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| 关 键 词： | Voronoi有限元法 参变理论 二次编程法 弹性力学 |
| 文章编号： | 10.1007/s10483-006-0804-1 |
| 收稿时间： | 2005-08-16 |
| 修稿时间： | 2006-03-06 |
Parametric variational principle based elastic-plastic analysis of heterogeneous materials with Voronoi finite element method |
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| Hong-wu Zhang,Hui Wang. Parametric variational principle based elastic-plastic analysis of heterogeneous materials with Voronoi finite element method[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(8): 1037-1047. DOI: 10.1007/s 10483-006-0804-1 |
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| Authors: | Hong-wu Zhang Hui Wang |
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| Affiliation: | Department of Engineering Mechanics,State Key Laboratory for Structural Analysis of Industrial Equipment,Dalian University of Technology,Dalian 116024,P.R.China |
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| Abstract: | The Voronoi cell finite element method (VCFEM) is adopted to overcome the limitations of the classic displacement based finite element method in the numerical simulation of heterogeneous materials. The parametric variational principle and quadratic programming method are developed for elastic-plastic Voronoi finite element analysis of two-dimensional problems. Finite element formulations are derived and a standard quadratic programming model is deduced from the elastic-plastic equations. Influence of microscopic heterogeneities on the overall mechanical response of heterogeneous materials is studied in detail. The overall properties of heterogeneous materials depend mostly on the size, shape and distribution of the material phases of the microstructure. Numerical examples are presented to demonstrate the validity and effectiveness of the method developed. |
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| Keywords: | Voronoi finite element parametric variational principle quadratic programming method |
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