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Frictional Contact/Impact between a Hyperelastic Body and Moving Rigid Obstacles
Department of Mechanical Engineering, Jönköping University, Jönköping, Sweden.ORCID iD: 0000-0001-6821-5727
2006 (English)In: III European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering: Book of Abstracts / [ed] C. A. Motasoares, J. A. C. Martins, H. C. Rodrigues, Jorge A. C. Ambrósio, C. A. B. Pin, Springer, 2006, p. 339-339Conference paper, Published paper (Refereed)
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Abstract [en]

In this paper a method for frictional contact/impact between a hyperelastic body and moving rigid obstacles is suggested and investigated. The work is a further development of the suggested method in [1]. The motion of an obstacle is defined by a prescribed translation vector and a prescribed rotation matrix. The geometry of the obstacles are defined by smooth functions. Each function is formulated in a moving frame which is governed by the translation vector and the rotation matrix. These functions are then included in new formulations of Signorini’s conditions and Coulomb’s law of friction. Instead of using contact forces, the mean value impulses are utilized in these formulations, which also are adopted in the law of motion which is given on velocity form. By following this approach, no search algorithm is needed, the normal and tangential directions are well defined and the treatment of non-constant transformation matrices in the law of motion is straight-forward. A total Lagrangian formulation of the system is given. The elastic properties of the body are defined by coupling the second Piola-Kirchhoff stress to the Green-Lagrange strain via the Kirchhoff-St.Venant law. The governing equations are solved by a nonsmooth Newton method. This is performed by following the augmented Lagrangian approach and deriving the consistent stiffness matrix as well as the contact stiffness matrices. The method is implemented in TriLab. TriLab is a user-friendly finite element toolbox for simulating contact and impact problems. TriLab is developed using Matlab and Visual Fortran. The Fortran code is linked to Matlab as mex-files. The code is vectorized and the sparsity is utilized. By using Trilab, the presented method will be demonstrated by solving two-dimensional problems.

Place, publisher, year, edition, pages
Springer, 2006. p. 339-339
National Category
Mechanical Engineering Applied Mechanics
Research subject
Mechanical Engineering
Identifiers
URN: urn:nbn:se:oru:diva-48305DOI: 10.1007/1-4020-5370-3ISBN: 978-1-4020-4994-1 (print)ISBN: 978-1-4020-5370-2 (print)OAI: oai:DiVA.org:oru-48305DiVA, id: diva2:904469
Conference
3rd European Conference on Computational Mechanics, Lisbon, Portugal, June 5-8, 2006
Available from: 2007-04-26 Created: 2016-02-15 Last updated: 2017-10-17Bibliographically approved

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Strömberg, Niclas

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