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

页码：1239 / 1248

页数：10

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