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A novel dimensional reduction for the equilibrium study of inextensional material surfaces
https://oist.repo.nii.ac.jp/records/2900
https://oist.repo.nii.ac.jp/records/2900705f6952-74b5-4811-9e44-879327649735
名前 / ファイル | ライセンス | アクション |
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1-s2.0-S0022509622002459-main (2.1 MB)
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (https://creativecommons.org/licenses/by-nc-nd/4.0/)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2023-01-27 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | A novel dimensional reduction for the equilibrium study of inextensional material surfaces | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Isometric deformations | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Unstretchability | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Inextensibility | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Bending energy | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Edge tractions | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Edge moments | |||||
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 the Mechanics and Physics of Solids 巻 169, p. 105068, 発行日 2022-10-05 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | A general framework is developed for finding the equations describing the equilibrium of an inextensional material surface with arbitrary flat reference shape that is deformed by applying tractions or moments to its edge. This is facilitated by using a representation of all isometric deformations of the material surface to convert the bending energy of the material surface to a line integral over the edge of the material surface. Euler–Lagrange equations are derived, leading to a complete and definitive set of equilibrium equations, which are a system of ordinary differential equations for the spatial directrix. Jump conditions that apply at points where the tangent and/or curvature of the edge may be discontinuous are also derived. As a simple but illustrative example, the deformation of a rectangular strip subject to various edge conditions is studied. | |||||
出版者 | ||||||
出版者 | Elsevier Ltd. | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0022-5096 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1873-4782 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1016/j.jmps.2022.105068 | |||||
権利 | ||||||
権利情報 | © 2022 The Authors. | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://www.sciencedirect.com/science/article/pii/S0022509622002459 | |||||
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 |