Issues concerning isometric deformations of planar regions to curved surfaces

DOI10.1007/S10659-017-9662-1zbMath1394.53007OpenAlexW2774933295WikidataQ59606644 ScholiaQ59606644MaRDI QIDQ1653417

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

Publication date: 3 August 2018

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

Full work available at URL: https://doi.org/10.1007/s10659-017-9662-1

zbMATH Keywords

embeddingisometrydevelopabletwo-dimensional Riemannian manifoldinextensionalunstretchable

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 (5)

A ribbon model for nematic polymer networks ⋮ Macroscopic and microscopic behavior of narrow elastic ribbons ⋮ Isometric deformations of unstretchable material surfaces, a spatial variational treatment ⋮ Closed unstretchable knotless ribbons and the Wunderlich functional ⋮ Isometries between given surfaces and the isometric deformation of a single unstretchable material surface

Cites Work

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• Translation of W. Wunderlich's ``On a developable Möbius band
• ``Wunderlich, meet Kirchhoff: a general and unified description of elastic ribbons and thin rods
• A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams
• Asymptotic Integration of Ordinary Differential Equations
• There is More than One Way to Frame a Curve
• On the exponential solution of differential equations for a linear operator

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