Translation of Michael Sadowsky's paper ``An elementary proof for the existence of a developable Möbius band and the attribution of the geometric problem to a variational problem
From MaRDI portal
Publication:2343260
DOI10.1007/s10659-014-9490-5zbMath1414.74017arXiv1408.3034OpenAlexW1990850114WikidataQ56850589 ScholiaQ56850589MaRDI QIDQ2343260
Publication date: 4 May 2015
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.3034
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Collected or selected works; reprintings or translations of classics (01A75) Curves in Euclidean and related spaces (53A04) Qualitative behavior of solutions of equilibrium problems in solid mechanics (74G55)
Related Items
A corrected Sadowsky functional for inextensible elastic ribbons ⋮ Issues concerning isometric deformations of planar regions to curved surfaces ⋮ An improved bound on the optimal paper Moebius band ⋮ Numerical modeling of inextensible elastic ribbons with curvature-based elements ⋮ Stability of boundary conditions for the Sadowsky functional ⋮ A ribbon model for nematic polymer networks ⋮ Macroscopic and microscopic behavior of narrow elastic ribbons ⋮ Nonrigidity of flat ribbons ⋮ Framed curves, ribbons, and parallel transport on the sphere ⋮ Unnamed Item ⋮ Computation of elastic equilibria of complete Möbius bands and their stability ⋮ 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 ⋮ TRANSFORMATIONS OF A SPACE CURVE AND APPLICATIONS TO ELASTIC CURVES ⋮ 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
