Symmetries in the linear theory of the deformation of thin shells
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929390840971264 |
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| author | Jikumaru, Yoshiki |
| author_facet | Jikumaru, Yoshiki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05997 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symmetries in the linear theory of the deformation of thin shells Jikumaru, Yoshiki Differential Geometry 53A05, 74K25 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. |
| title | Symmetries in the linear theory of the deformation of thin shells |
| topic | Differential Geometry 53A05, 74K25 |
| url | https://arxiv.org/abs/2406.05997 |