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The Mechanics of Ribbons and Möbius Bands

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Cover of 'The Mechanics of Ribbons and Möbius Bands'

Table of Contents

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    Book Overview
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    Chapter 1 Foreword
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    Chapter 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”
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    Chapter 3 Translation and Interpretation of Michael Sadowsky’s Paper “Theory of Elastically Bendable Inextensible Bands with Applications to the Möbius Band”
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    Chapter 4 Translation of Michael Sadowsky’s Paper “The Differential Equations of the Möbius Band”
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    Chapter 5 Translation of W. Wunderlich’s “On a Developable Möbius Band”
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    Chapter 6 Gamma-Limit of a Model for the Elastic Energy of an Inextensible Ribbon
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    Chapter 7 “Wunderlich, Meet Kirchhoff”: A General and Unified Description of Elastic Ribbons and Thin Rods
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    Chapter 8 Equilibrium Shapes with Stress Localisation for Inextensible Elastic Möbius and Other Strips
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    Chapter 9 Bending Paper and the Möbius Strip
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    Chapter 10 Roadmap to the Morphological Instabilities of a Stretched Twisted Ribbon
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    Chapter 11 The Shrinking Figure Eight and Other Solitons for the Curve Diffusion Flow
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    Chapter 12 Kinematical Aspects of Levi-Civita Transport of Vectors and Tensors Along a Surface Curve
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    Chapter 13 Non-Euclidean Ribbons
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    Chapter 14 The Second-Order L 2 $L^{2}$ -Flow of Inextensible Elastic Curves with Hinged Ends in the Plane
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    Chapter 15 Buckling of Naturally Curved Elastic Strips: The Ribbon Model Makes a Difference
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    Chapter 16 Residual Stresses and Poisson’s Effect Drive Shape Formation and Transition of Helical Structures
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    Chapter 17 Representation for a Smooth Isometric Mapping from a Connected Planar Domain to a Surface
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    Chapter 18 Erratum to: Four Papers Published in the Journal of Elasticity (2015) 119(1–2)
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Title
The Mechanics of Ribbons and Möbius Bands
Published by
Springer Netherlands, January 2016
DOI 10.1007/978-94-017-7300-3
ISBNs
978-9-40-177299-0, 978-9-40-177300-3
Editors

Fosdick, Roger, Fried, Eliot

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