Finite cell method compared to h-version finite element method for elasto-plastic problems.pdfVIP
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Finite cell method compared to h-version finite element method for elasto-plastic problems.pdf
Appl. Math. Mech. -Engl. Ed., 35(10), 1239–1248 (2014) Applied Mathematics DOI 10.1007/s10483-014-1861-9 and Mechanics c Shanghai University and Springer-Verlag Berlin Heidelberg 2014 (English Edition) Finite cell method compared to h-version finite element method for elasto-plastic problems∗ 1 2 3 4 ¨ A. ABEDIAN , J. PARVIZIAN , A. DUSTER , E. RANK (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 Universit¨at Hamburg-Harburg, Hamburg D-21073, Germany; 4. Lehrstuhl f¨ur Computation in Engineering, Fakult¨at f¨ur Bauingenieur-und Vermessungswesen, Technische Universit¨at M¨unchen, M¨unchen 80290, Germany) 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
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