Asymptotic analysis of linearly elastic flexural shells subjected to an obstacle in absence of friction

TL;DR

This paper develops a mathematical model using variational inequalities to analyze the behavior of linearly elastic flexural shells constrained by an obstacle, without considering friction effects.

Contribution

It introduces a novel set of two-dimensional variational inequalities specifically for flexural shells under obstacle constraints, expanding the theoretical understanding of such elastic systems.

Findings

Formulation of variational inequalities for shell displacement

Characterization of admissible deformed configurations

Foundation for further analytical or numerical studies

Abstract

In this paper we identify a set of two-dimensional variational inequalities that model the displacement of a linearly elastic flexural shell subjected to a confinement condition, expressing that all the points of the admissible deformed configurations remain in a given half-space. The action of friction is neglected.