Asymptotic analysis of linearly elastic shells in normal compliance contact: Error estimates for the elliptic membrane case
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.
Fields of Study & Subjects
Contact Mechanics and Variational Inequalities
Elasticity and Wave Propagation
Advanced Numerical Methods in Computational Mathematics
Publication details
- Journal / source
- Mathematics and Mechanics of Solids
- Volume
- 31
- Issue
- 11
- Pages
- 2446–2467
- Publication date
- 19 January 2026
- Language
- EN