Peng Xin, Piersanti Paolo, Shen Xiaoqin
Department of Applied Mathematics, School of Sciences, Xi'an University of Technology, P.O.Box 1243, Yanxiang Road No. 58, Xi'an, Shaanxi 710054, People's Republic of China.
Department of Mathematics and Institute for Scientific Computing and Applied Mathematics, Indiana University Bloomington, 729 East Third Street, Bloomington, IN 47405, USA.
Philos Trans A Math Phys Eng Sci. 2024 Aug 23;382(2277):20230306. doi: 10.1098/rsta.2023.0306. Epub 2024 Jul 15.
In this article, we study the numerical corroboration of a variational model governed by a fourth-order elliptic operator that describes the deformation of a linearly elastic flexural shell subjected not to cross a prescribed flat obstacle. The problem under consideration is modelled by means of a set of variational inequalities posed over a non-empty, closed and convex subset of a suitable Sobolev space and is known to admit a unique solution. Qualitative and quantitative numerical experiments corroborating the validity of the model and its asymptotic similarity with Koiter's model are also presented.This article is part of the theme issue 'Non-smooth variational problems with applications in mechanics'.
