Numerical validation of Koiter's model for all the main types of linearly elastic shells in the static case

TL;DR

This paper numerically validates Koiter's shell model across all main types of linearly elastic shells, confirming its theoretical justification through computational experiments.

Contribution

It provides the first comprehensive numerical validation of Koiter's model for all main types of linearly elastic shells.

Findings

Koiter's model is numerically validated for various shell types.

The validation confirms the theoretical assumptions of Koiter's model.

Numerical experiments support the model's applicability in static cases.

Abstract

In this paper, we validate the main theorems establishing the justification of Koiter's model, established by Ciarlet and his associates, for all the types of linearly elastic shells via a set of numerical experiments.