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个人信息Personal Information
教授
博士生导师
硕士生导师
性别:男
毕业院校:德国汉诺威大学
学位:博士
所在单位:力学与航空航天学院
学科:工程力学. 计算力学. 生物与纳米力学
电子邮箱:zhanghw@dlut.edu.cn
Parametric variational principle based elastic-plastic analysis of materials with polygonal and Voronoi cell finite element methods
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论文类型:期刊论文
发表时间:2007-01-01
发表刊物:FINITE ELEMENTS IN ANALYSIS AND DESIGN
收录刊物:SCIE、EI
卷号:43
期号:3
页面范围:206-217
ISSN号:0168-874X
关键字:polygonal finite element method; Voronoi cell finite element method; parametric variational principle; quadratic programming method
摘要: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.