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

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...

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Bibliographic Details
Published in:Applied mathematics and mechanics Vol. 35; no. 10; pp. 1239 - 1248
Main Authors: Abedian, A., Parvizian, J., Düster, A., Rank, E.
Format: Journal Article
Language:English
Published: Heidelberg Shanghai University 01.10.2014
Department of Mechanical Engineering, Daneshpajoohan Higher Education Institute, Isfahan 81657 55913, Iran%Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156 83111, Iran%Numerische Strukturanalyse mit Anwendungen in der Schiffstechnik M-10, Technische Universit¨at Hamburg-Harburg, Hamburg D-21073, Germany%Lehrstuhl f¨ur Computation in Engineering, Fakult¨at f¨ur Bauingenieur-und Vermessungswesen, Technische Universit¨at M¨unchen, M¨unchen 80290, Germany
Subjects:
Applications of Mathematics
Boundaries
Classical Mechanics
Finite element method
Flow theory
Fluid- and Aerodynamics
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Meshing
Partial Differential Equations
Plasticity
version finite element method
octree
Prandtl-Reuss
finite cell method (FCM)
80M10
O241.82
quadtree
FEM
h-version finite element method (h-FEM)
ISSN:0253-4827, 1573-2754
Online Access:Get full text
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Summary: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.
Bibliography: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.
31-1650/O1
finite cell method （FCM）, h-version finite element method （h-FEM）,Prandtl-Reuss, quadtree, octree
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-014-1861-9