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Civil-Comp Conferences
ISSN 2753-3239
ISSN 2753-3239
CCC: 6
PROCEEDINGS OF THE SEVENTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
PROCEEDINGS OF THE SEVENTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: P. Ivanyi, J. Kruis and B.H.V. Topping
Paper 7.3
Mortar method for 2D elastic contact problems
T. Svetlk1, R. Varga1, L. Pospisil1,2 and M. Cermak1
1Department of Mathematics, Faculty of Civil Engineering,
VSB-TUO, Czech Republic
2Rheinland-Pfalzische Technische Universit¨at Kaiserslautern-Landau, Germany
Full Bibliographic Reference for this paper
T. Svetlik, R. Varga, L. Pospisil, M. Cermak, "Mortar method for 2D elastic contact problems", in P. Ivanyi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Seventeenth International Conference on
Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK,
Online volume: CCC 6, Paper 7.3, 2023, doi:10.4203/ccc.6.7.3
Keywords: finite element method, mortar method, non-conforming meshes, elastic contacts.
Abstract
In this paper, we focus on the mortar method with a segment-to-segment approach
used for connecting non-conforming and non-overlapping meshes and for the contact
between two elastic bodies. We briefly review the theory, present our Matlab implementation
and compare results on benchmarks. We compare our results with the
analytical solution of Hertz stress and popular commercial software Ansys.
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