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Isometries Between Given Surfaces and the Isometric Deformation of a Single Unstretchable Material Surface
https://oist.repo.nii.ac.jp/records/2735
https://oist.repo.nii.ac.jp/records/2735cab878f7-aa46-4ce7-99f7-d6cf17890e7e
名前 / ファイル | ライセンス | アクション |
---|---|---|
Chen-Isometries Between Given Surfaces and the (1.4 MB)
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CC BY 4.0
Creative Commons Attribution 4.0 International (https://creativecommons.org/licenses/by/4.0/) |
Item type | 学術雑誌論文 / Journal Article(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2022-08-04 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Isometries Between Given Surfaces and the Isometric Deformation of a Single Unstretchable Material Surface | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Inextensible surface | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Inextensional surface | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Two-dimensional Riemannian manifold | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Embedding | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Developable surface | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Rectifying developable | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Internal constraint | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Chen, Yi-chao
× Chen, Yi-chao× Fosdick, Roger× Fried, Eliot |
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書誌情報 |
en : Journal of Elasticity 発行日 2022-07-07 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | The difference between the differential geometric concept of an isometry between two given surfaces as purely mathematical objects and the kinematical concept of an isometric deformation of a single unstretchable material surface as a physical object is discussed. We clarify some misunderstandings that have been promoted in recent works concerning the mechanics of unstretchable material surfaces and we discuss this issue within the context of two specific examples. A revealing distinction between isometries and isometric deformations in two space dimensions is reviewed, and the use of rectifying developable surfaces to characterize the isometric deformation of rectangular material strips is analyzed. | |||||
出版者 | ||||||
出版者 | Springer Nature | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0374-3535 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1573-2681 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/s10659-022-09909-0 | |||||
権利 | ||||||
権利情報 | © 2022 The Author(s) | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007/s10659-022-09909-0 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |