| Issue |
ESAIM: M2AN
Volume 55, 2021
Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
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|---|---|---|
| Page(s) | S941 - S967 | |
| DOI | https://doi.org/10.1051/m2an/2020063 | |
| Published online | 26 February 2021 | |
Nitsche-based models for the unilateral contact of plates
1
ESI Group, 70 Rue Robert, Lyon 69006, France
2
Université de Lyon, CNRS, INSA-Lyon, ICJ UMR5208 LaMCoS UMR5259, Villeurbanne F-69621, France
* Corresponding author: cedric.pozzolini@esi-group.com
Received:
3
April
2020
Accepted:
25
August
2020
This paper aims to present different Nitsche-based models for the unilateral contact of plate structures. Our analysis is based on the consideration of Nitsche’s method on a 3D structure with kinematic assumptions of thin or thick plate theories. This approach is compared to that of Gustafsson, Stenberg and Videman which consists of Nitsche’s method applied directly on a 2D plate model. To simplify the presentation, we focus on the contact of an elastic plate with a rigid obstacle. The different approaches are compared numerically in terms of reliability compared to the 3D elastic model.
Mathematics Subject Classification: 65N22
Key words: Contact problem / variational formulation / numerical scheme / Nitsche method
© EDP Sciences, SMAI 2021
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