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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2021

Nitsche-based models for the unilateral contact of plates

Résumé

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.
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Dates et versions

hal-02973269 , version 1 (21-10-2020)

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Mathieu Fabre, Cédric Pozzolini, Yves Renard. Nitsche-based models for the unilateral contact of plates. ESAIM: Mathematical Modelling and Numerical Analysis, 2021, ⟨10.1051/m2an/2020063⟩. ⟨hal-02973269⟩
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