Symmetries in the linear theory of the deformation of thin shells

This paper reports 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 governing equation of the middle surface of a shell becomes ‘exactly solvable’, infinitely many ‘nice’ deformations exist.

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Publication Details

Journal
JSIAM Letters
Published
2025-01-01
DOI
https://doi.org/10.14495/jsiaml.17.69
Primary Topic
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Type
article
Field-Weighted Citation Impact
0.00

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article

Symmetries in the linear theory of the deformation of thin shells

Yoshiki Jikumaru
JSIAM Letters
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
article

Symmetries in the linear theory of the deformation of thin shells

Yoshiki Jikumaru
article en

Abstract

This paper reports 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 governing equation of the middle surface of a shell becomes ‘exactly solvable’, infinitely many ‘nice’ deformations exist.

JSIAM LettersVol. 17(0)
Toyo University (JP)
Toyo University, Japan Society for the Promotion of Science, Core Research for Evolutional Science and Technology
Openalex Percentile: Top 77%
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
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