Symmetries in the linear theory of the deformation of thin shells
Differential Geometry
2024-06-19 v2
Abstract
In this paper, we show that symmetries, which are known in the theory of integrable systems, naturally appeared in the classical linear theory of deformations of thin shells. Our result shows that if the middle surface of a shell becomes `integrable', infinitely many deformations exist that have no shear strains and twisting of the coordinate lines.
Cite
@article{arxiv.2406.05997,
title = {Symmetries in the linear theory of the deformation of thin shells},
author = {Yoshiki Jikumaru},
journal= {arXiv preprint arXiv:2406.05997},
year = {2024}
}
Comments
10 pages