On the characterization of drilling rotation in the 6-parameter resultant shell theory

TL;DR

This paper investigates the effects of drilling rotations in geometrically non-linear elastic shells, proving the existence of minimizers and providing a strain energy representation for shells without drilling rotations.

Contribution

It introduces a model that accounts for drilling rotations in shells and offers a new strain energy representation for shells without drilling rotations.

Findings

Existence of minimizers for the shell model.

Representation theorem for strain energy without drilling rotations.

Analysis of the effects of drilling rotations in shell behavior.

Abstract

We analyze geometrically non-linear isotropic elastic shells and prove the existence of minimizers. In general, the model takes into account the effect of drilling rotations in shells. For the special case of shells without drilling rotations we present a representation theorem for the strain energy function.