Cao Rial, María TeresaRoscani, SabrinaVenturato, L.D.2026-01-212026-01-212026Cao-Rial MT, Roscani S, Venturato L. Asymptotic analysis of linearly elastic shells in normal compliance contact: Error estimates for the elliptic membrane case. Mathematics and Mechanics of Solids. 2026. doi: https://doi.org/10.1177/10812865251383770https://hdl.handle.net/2183/47008This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/. This version of the article: Cao-Rial MT, Roscani S, Venturato L. Asymptotic analysis of linearly elastic shells in normal compliance contact: Error estimates for the elliptic membrane case. Mathematics and Mechanics of Solids. 2026. doi: https://doi.org/10.1177/10812865251383770 Copyright © 2026 Sage Publications, © The Author(s)[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.engCopyright © 2026, Sage Publications © The Author(s)Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/ShellsContactAsymptotic analysisNormal complianceError estimatesElasticityMembranejournal articleopen access10.1177/10812865251383770