Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 416, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cam.2022.114557
Keywords
Unilateral contact; Coulomb friction; Finite elements; Nitsche's method
Categories
Funding
- Region Bourgogne Franche-Comte [ANR-17-EURE-0002]
- Centre National de la Recherche Scientifique (DEFI InFIniTI 2017) [232789]
- Agence Maths Entreprises (AMIES) (Projet Exploratoire PEPS2 MethASim)
- I-Site BFC project NAANoD
- EIPHI Graduate School [2015C-4991]
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We investigated the Nitsche-based finite element method for contact problems with Coulomb friction, considering both static and dynamic situations. By assuming appropriate physical and numerical parameters, we established existence and/or uniqueness results for the discretized problems. Numerical studies were conducted to complement these theoretical results.
We study the Nitsche-based finite element method for contact with Coulomb friction considering both static and dynamic situations. We provide existence and/or uniqueness results for the discretized problems under appropriate assumptions on physical and numerical parameters. In the dynamic case, existence and uniqueness of the space semi-discrete problem holds for every value of the friction coefficient and the Nitsche parameter. In the static case, if the Nitsche parameter is large enough, existence is ensured for any friction coefficient, and uniqueness can be obtained provided that the friction coefficient is below a bound that depends on the mesh size. These results are complemented by a numerical study. (C) 2022 Elsevier B.V. All rights reserved.
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