Translation of W. Wunderlich's ``On a developable Möbius band

DOI10.1007/S10659-014-9489-YzbMath1315.53006OpenAlexW2049138875MaRDI QIDQ2343263

Russell E. Todres

Publication date: 4 May 2015

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

Full work available at URL: https://doi.org/10.1007/s10659-014-9489-y

zbMATH Keywords

differential geometrydevelopable surfacesMöbius bands

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Surfaces in Euclidean and related spaces (53A05) Collected or selected works; reprintings or translations of classics (01A75) Qualitative behavior of solutions of equilibrium problems in solid mechanics (74G55)

Related Items (12)

A corrected Sadowsky functional for inextensible elastic ribbons ⋮ 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 ⋮ Nonrigidity of flat ribbons ⋮ One-dimensional von Kármán models for elastic ribbons ⋮ Isometric deformations of unstretchable material surfaces, a spatial variational treatment ⋮ Closed unstretchable knotless ribbons and the Wunderlich functional ⋮ A Variational Model for Anisotropic and Naturally Twisted Ribbons ⋮ Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons ⋮ Isometries between given surfaces and the isometric deformation of a single unstretchable material surface ⋮ Buckling of naturally curved elastic strips: the ribbon model makes a difference

Cites Work

• ** On a skew surface a part of which is topologically equivalent to the Mobius strip

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