Isometric deformations of unstretchable material surfaces, a spatial variational treatment

Author:

Chen Yi-Chao,Fosdick Roger,Fried Eliot

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference23 articles.

1. Representation for a smooth isometric mapping from a connected planar domain to a surface;Chen;J. Elast.,2015

2. Issues concerning isometric deformations of planar regions to curved surfaces;Chen;J. Elast.,2018

3. Representation of a smooth isometric deformation of a planar material region into a curved surface;Chen;J. Elast.,2018

4. Möbius bands, unstretchable material sheets, and developable surfaces;Chen;Proc. R. Soc. Lond. Series A, Math. Phys. Eng. Sci.,2016

5. A variational model for anisotropic and naturally twisted ribbons;Freddi;SIAM J. Math. Anal.,2016

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Conformal Deformations of a Dilational Material Surface;Journal of Elasticity;2023-03-09

2. A novel dimensional reduction for the equilibrium study of inextensional material surfaces;Journal of the Mechanics and Physics of Solids;2022-12

3. Reply to the comment of van der Heijden and Starostin;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2022-05

4. Comment on Y.-C. Chen, E. Fried, Möbius bands, unstretchable material sheets and developable surfaces. Proc. R. Soc. A 472, 20160459 (2016);Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2022-05

5. Pangolin‐Inspired Stretchable, Microwave‐Invisible Metascale;Advanced Materials;2021-08-25

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