Volume 119, Issue 1-2 | Journal of Elasticity

Journal of Elasticity

The Physical and Mathematical Science of Solids

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Volume 119, Issue 1-2

April 2015

Special Invited Collection on the Mechanics of Ribbons and Möbius Bands

Issue Editors:

Roger Fosdick,
Eliot Fried

17 articles in this issue

Foreword
Roger Fosdick
Eliot Fried
EditorialNotes 28 March 2015 Pages: 1 - 2
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
Denis F. Hinz
Eliot Fried
OriginalPaper 12 September 2014 Pages: 3 - 6
Translation and Interpretation of Michael Sadowsky’s Paper “Theory of Elastically Bendable Inextensible Bands with Applications to the Möbius Band”
Denis F. Hinz
Eliot Fried
OriginalPaper 12 September 2014 Pages: 7 - 17
Translation of Michael Sadowsky’s Paper “The Differential Equations of the Möbius Band”
Denis F. Hinz
Eliot Fried
OriginalPaper 21 August 2014 Pages: 19 - 22
Translation of W. Wunderlich’s “On a Developable Möbius Band”
Russell E. Todres
OriginalPaper 26 August 2014 Pages: 23 - 34
Gamma-Limit of a Model for the Elastic Energy of an Inextensible Ribbon
Nicholas O. Kirby
Eliot Fried
OriginalPaper 20 March 2014 Pages: 35 - 47
“Wunderlich, Meet Kirchhoff”: A General and Unified Description of Elastic Ribbons and Thin Rods
Marcelo A. Dias
Basile Audoly
OriginalPaper 26 August 2014 Pages: 49 - 66
Equilibrium Shapes with Stress Localisation for Inextensible Elastic Möbius and Other Strips
E. L. Starostin
G. H. M. van der Heijden
OriginalPaper Open access 27 August 2014 Pages: 67 - 112
Bending Paper and the Möbius Strip
Sören Bartels
Peter Hornung
OriginalPaper 18 September 2014 Pages: 113 - 136
Roadmap to the Morphological Instabilities of a Stretched Twisted Ribbon
Julien Chopin
Vincent Démery
Benny Davidovitch
OriginalPaper 19 September 2014 Pages: 137 - 189
The Shrinking Figure Eight and Other Solitons for the Curve Diffusion Flow
Maureen Edwards
Alexander Gerhardt-Bourke
Valentina-Mira Wheeler
OriginalPaper 09 October 2014 Pages: 191 - 211
Kinematical Aspects of Levi-Civita Transport of Vectors and Tensors Along a Surface Curve
James Casey
OriginalPaper 12 November 2014 Pages: 213 - 249
Non-Euclidean Ribbons
Efi Efrati
OriginalPaper 31 December 2014 Pages: 251 - 261
The Second-Order L ²-Flow of Inextensible Elastic Curves with Hinged Ends in the Plane
Chun-Chi Lin
Yang-Kai Lue
Hartmut R. Schwetlick
OriginalPaper 12 February 2015 Pages: 263 - 291
Buckling of Naturally Curved Elastic Strips: The Ribbon Model Makes a Difference
Basile Audoly
Keith A. Seffen
OriginalPaper 07 March 2015 Pages: 293 - 320
Residual Stresses and Poisson’s Effect Drive Shape Formation and Transition of Helical Structures
Zi Chen
Xiaomin Han
Huang Zheng
OriginalPaper 17 March 2015 Pages: 321 - 333
Representation for a Smooth Isometric Mapping from a Connected Planar Domain to a Surface
Yi-Chao Chen
Roger Fosdick
Eliot Fried
OriginalPaper 07 March 2015 Pages: 335 - 350