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Paper 10.3

Solving the Elasto-Plastic Behaviour of Two Bodies in Contact Using the Mortar Method

M. Cermak, T. Světlík, R. Varga and L. Pospíšil

Department of Mathematics, VSB – Technical University of Ostrava, Czechia

doi:10.4203/ccc.9.10.3

M. Cermak, T. Světlík, R. Varga, L. Pospíšil, "Solving the Elasto-Plastic Behaviour of Two Bodies in Contact Using the Mortar Method", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 9, Paper 10.3, 2024, doi:10.4203/ccc.9.10.3

Keywords: finite element method, elasto-plasticity, Mortar method, contact problem, semi-smooth Newton method, Matlab.

Abstract

This paper focuses on the Mortar method employing a segment-to-segment approach, utilized for connecting non-conforming and non-overlapping meshes and for handling contact between two elasto-plastic bodies. We provide a brief overview of the theory, present our implementation in Matlab, and conduct numerical results. We use the vectorized aproach for assembling tangential stiffness matrices and the semi-smooth Newton method for linearizing the material nonlinearities.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 9 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 10.3 Solving the Elasto-Plastic Behaviour of Two Bodies in Contact Using the Mortar Method M. Cermak, T. Světlík, R. Varga and L. Pospíšil Department of Mathematics, VSB – Technical University of Ostrava, Czechia doi:10.4203/ccc.9.10.3 Full Bibliographic Reference for this paper M. Cermak, T. Světlík, R. Varga, L. Pospíšil, "Solving the Elasto-Plastic Behaviour of Two Bodies in Contact Using the Mortar Method", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 9, Paper 10.3, 2024, doi:10.4203/ccc.9.10.3 Keywords: finite element method, elasto-plasticity, Mortar method, contact problem, semi-smooth Newton method, Matlab. Abstract This paper focuses on the Mortar method employing a segment-to-segment approach, utilized for connecting non-conforming and non-overlapping meshes and for handling contact between two elasto-plastic bodies. We provide a brief overview of the theory, present our implementation in Matlab, and conduct numerical results. We use the vectorized aproach for assembling tangential stiffness matrices and the semi-smooth Newton method for linearizing the material nonlinearities. download the full-text of this paper (PDF, 8650 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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