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.
The aim of this paper is 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 the one of Gustafsson, Stenberg and Videman which consists of
Nitsche's method directly applied 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 numerically compared in terms
of reliability compared to the 3D elastic model.
Nitsche based models for the unilateral contact of plates