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arXiv · 2406.05997

Symmetries in the linear theory of the deformation of thin shells

Yoshiki Jikumaru
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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.

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Yoshiki Jikumaru. 2024-06-18. Symmetries in the linear theory of the deformation of thin shells. https://arxiv.org/abs/2406.05997

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