Finite cell method compared to h-version finite element method for elasto-plastic problems |
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Authors: | A.ABEDIAN J.PARVIZIAN A.D USTER E.RANK |
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Affiliation: | [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 Universitat Hamburg-Harburg, Hamburg D-21073, Germany; [4]Lehrstuhl fur Computation in Engineering, Fakultat fur Bauingenieur-undVermessungswesen, Technische Universitat Miinchen, Miinchen 80290, Germany |
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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. |
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Keywords: | finite cell method (FCM) h-version finite element method (h-FEM) Prandtl-Reuss quadtree octree |
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