Representation of a smooth isometric deformation of a planar material region into a curved surface

DOI10.1007/s10659-017-9637-2zbMath1396.53003OpenAlexW2607060675MaRDI QIDQ1695380

Yi-Chao Chen, Eliot Fried, Roger L. Fosdick

Publication date: 7 February 2018

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-017-9637-2

zbMATH Keywords

kinematic isometryplanar material region, coordinate representation

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Thin films (74K35) Membranes (74K15) Surfaces in Euclidean and related spaces (53A05) Embeddings in differential topology (57R40)

Related Items (7)

Planar polymers under cylindrical confinement: geometrical approach ⋮ Issues concerning isometric deformations of planar regions to curved surfaces ⋮ A ribbon model for nematic polymer networks ⋮ Macroscopic and microscopic behavior of narrow elastic ribbons ⋮ Isometric bending requires local constraints on free edges ⋮ Isometric deformations of unstretchable material surfaces, a spatial variational treatment ⋮ Closed unstretchable knotless ribbons and the Wunderlich functional

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