BEM solution of two dimensional unilateral contact problems with friction by a new approach |
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| Affiliation: | 1. Centre d''Etudes Mécaniques d''Ile de France, 40 rue du Pelvoux, CE 1455 Courcouronnes, 91020 Evry Cedex, France;2. Laboratoire de Modélisation Mécanique et de Mathématiques Appliquées, Universite de Poitiers et E.N.S.M.A., S.P.2M.I., BP 179, 86960 Futuroscope Cedex, France;1. College of Environmental Science and Engineering, Hunan University, Changsha, 410082, China;2. Key Laboratory of Environmental Biology and Pollution Control, Hunan University, Ministry of Education, Changsha 410082, China;3. College of Resources and Environment, Hunan Agricultural University, Changsha 410128, China;1. Faculty of Biomedical Engineering, Amirkabir University of Technology, Tehran, Iran;2. Pathology Department, School of Medicine, Tehran University of Medical Science, Tehran, Iran |
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| Abstract: | Recently, a new numerical resolution method has been introduced for frictionless unilateral contact problems which reduces the resolution of the unilateral problem to the resolution of a nonlinear equation. This reduction is based on a reformulation of the unilateral problem, which at the same time governs the usual unknowns and extra unknowns characterising the contact zone position. The supplementary equations needed by the introduction of these extra unknowns are given by writing the contact force and the gap between the body and its support vanish simultaneously on the contact zone boundary. The boundaries of the bodies in contact are supposed regular in the contact zone vicinity. The aim of the present paper is to extend this resolution method to unilateral contact problems with Coulomb friction. |
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