Finite cell method compared to h-version finite element method for elasto-plastic problems

被引：19
|
作者：
Abedian, A. [1 ]
Parvizian, J. [2 ]
Duester, A. [3 ]
Rank, E. [4 ]
机构：
[1] Daneshpajoohan Higher Educ Inst, Dept Mech Engn, Esfahan 8165755913, Iran
[2] Isfahan Univ Technol, Dept Mech Engn, Esfahan 8415683111, Iran
[3] Tech Univ Hamburg, D-21073 Hamburg, Germany
[4] Tech Univ Munich, Fak Bauingenieur & Vermessungswesen, Lehrstuhl Computat Engn, D-80290 Munich, Germany
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2014年 / 35卷 / 10期
关键词：
finite cell method (FCM); h-version finite element method (h-FEM); Prandtl-Reuss; quadtree; octree; P-VERSION;
D O I：
10.1007/s10483-014-1861-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The finite cell method (FCM) combines the high-order finite element method (FEM) with the fictitious domain approach for the purpose of simple meshing. In the present study, the FCM is used to the Prandtl-Reuss flow theory of plasticity, and the results are compared with the h-version finite element method (h-FEM). The numerical results show that the FCM is more efficient compared to the h-FEM for elasto-plastic problems, although the mesh does not conform to the boundary. It is also demonstrated that the FCM performs well for elasto-plastic loading and unloading.
引用
收藏
页码：1239 / 1248
页数：10
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