Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (10): 1239-1248.doi: https://doi.org/10.1007/s10483-014-1861-9

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

A. ABEDIAN1, J. PARVIZIAN2, A. DÜSTER3, E. RANK4   

  1. 1. Department of Mechanical Engineering, Daneshpajoohan Higher Education Institute, Isfahan 81657 55913, Iran;
    2. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156 83111, Iran;
    3. Numerische Strukturanalyse mit Anwendungen in der Schiffstechnik (M-10), Technische Universität Hamburg-Harburg, Hamburg D-21073, Germany;
    4. Lehrstuhl für Computation in Engineering, Fakultät für Bauingenieur-und Vermessungswesen, Technische Universität München, München 80290, Germany
  • 收稿日期:2013-05-29 修回日期:2014-03-10 出版日期:2014-10-01 发布日期:2014-10-01
  • 通讯作者: A. ABEDIAN, abedian.a@gmail.com E-mail:abedian.a@gmail.com

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

A. ABEDIAN1, J. PARVIZIAN2, A. DÜSTER3, E. RANK4   

  1. 1. Department of Mechanical Engineering, Daneshpajoohan Higher Education Institute, Isfahan 81657 55913, Iran;
    2. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156 83111, Iran;
    3. Numerische Strukturanalyse mit Anwendungen in der Schiffstechnik (M-10), Technische Universität Hamburg-Harburg, Hamburg D-21073, Germany;
    4. Lehrstuhl für Computation in Engineering, Fakultät für Bauingenieur-und Vermessungswesen, Technische Universität München, München 80290, Germany
  • Received:2013-05-29 Revised:2014-03-10 Online:2014-10-01 Published:2014-10-01

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.

关键词: Prandtl-Reuss, octree, finite cell method (FCM), quadtree, h-version finite element method (h-FEM)

Abstract:

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.

Key words: finite cell method (FCM), Prandtl-Reuss, quadtree, h-version finite element method (h-FEM), octree

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