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M.C.K. Chuo, B.A. Izzuddin, "Reduced-order constraint formulation for segment-to-segment contact in large displacement structural analysis", in B.H.V. Topping, P. Iványi, (Editors), "Proceedings of the Eleventh International Conference on Engineering Computational Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 2, Paper 11.3, 2022, doi:10.4203/ccc.2.11.3

Keywords: contact mechanics, segment-to-segment contact, large displacement, mortar method, Lagrange multiplier, finite element analysis.

Abstract

Contact simulation can introduce substantial computational cost and complexity to large displacement structural analysis, which by itself can already be very expensive. The inclusion of contact simulation in a complete sense entails incorporating the full expressions of the first and second derivatives of the contact potential energy to be used for the prediction of the structural response at successive iterations of the Newton-Raphson procedure. Furthermore, these expressions would have to be reevaluated at every iteration to account for the updating of the contact region. In order to increase computational efficiency, the contact constraint formulation can be approximated to a certain level without significant compromise in accuracy. This paper proposes several approximations to the constraint formulation whereby partial expressions of derivatives are used, depending on how the projection coordinates, the gap vector, and the unit normal vector of the contact region are assumed to vary within each equilibrium step with respect to the displacement degrees of freedom.

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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: 2 PROCEEDINGS OF THE ELEVENTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: B.H.V. Topping and P. Iványi Paper 11.3 Reduced-order constraint formulation for segment-to-segment contact in large displacement structural analysis M.C.K. Chuo and B.A. Izzuddin Department of Civil and Environmental Engineering, Imperial College London, United Kingdom doi:10.4203/ccc.2.11.3 Full Bibliographic Reference for this paper M.C.K. Chuo, B.A. Izzuddin, "Reduced-order constraint formulation for segment-to-segment contact in large displacement structural analysis", in B.H.V. Topping, P. Iványi, (Editors), "Proceedings of the Eleventh International Conference on Engineering Computational Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 2, Paper 11.3, 2022, doi:10.4203/ccc.2.11.3 Keywords: contact mechanics, segment-to-segment contact, large displacement, mortar method, Lagrange multiplier, finite element analysis. Abstract Contact simulation can introduce substantial computational cost and complexity to large displacement structural analysis, which by itself can already be very expensive. The inclusion of contact simulation in a complete sense entails incorporating the full expressions of the first and second derivatives of the contact potential energy to be used for the prediction of the structural response at successive iterations of the Newton-Raphson procedure. Furthermore, these expressions would have to be reevaluated at every iteration to account for the updating of the contact region. In order to increase computational efficiency, the contact constraint formulation can be approximated to a certain level without significant compromise in accuracy. This paper proposes several approximations to the constraint formulation whereby partial expressions of derivatives are used, depending on how the projection coordinates, the gap vector, and the unit normal vector of the contact region are assumed to vary within each equilibrium step with respect to the displacement degrees of freedom. download the full-text of this paper (PDF, 6 pages, 359 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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