Volume 55, 2021Regular 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
|Page(s)||S941 - S967|
|Published online||26 February 2021|
Nitsche-based models for the unilateral contact of plates
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: email@example.com
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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