Asymptotic analysis of linearly elastic shells in normal compliance contact: Error estimates for the elliptic membrane case

Abstract

[Abstract] In this paper, we consider a family of linearly elastic shells in normal compliance contact with a deformable foundation. We obtain error estimates for the approximation of the solution to a three-dimensional (3D) problem with a two-dimensional (2D) limit solution in terms of the thickness ε of the shell. The proof of the main result relies on a corrector method. We also provide a strong formulation for the 2D obstacle boundary value problem associated.