PARAMETRIC VARIATIONAL PRINCIPLE BASED ELASTIC-PLASTIC ANALYSIS OF HETEROGENEOUS MATERIALS WITH VORONOI FINITE ELEMENT METHOD

作     者：张洪武 王辉 

作者机构：Department of Engineering MechanicsState Key Laboratory for Structural Analysis of Industrial Equipment Dalian University of TechnologyDalian 116024P. R. China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2006年第27卷第8期

页      面：1037-1047页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundation of China(Nos.10225212  10421002 and 10332010)the NCET Program provided by the Ministry of Education and the National Key Basic Research Special Foundation of China (No.2005CB321704) 

主　　题：Voronoi finite element parametric variational principle quadratic programming method 

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.