The Mechanics of Ribbons and Möbius Bands
Springer (Verlag)
978-94-024-0213-1 (ISBN)
This edited volume contains English translations of four seminal papers on this topic, all originally written in German; of these, Michael A. Sadowsky published the first in 1929, followed by two others in 1930, and Walter Wunderlich published the last in 1962.
The volume also contains invited, peer-reviewed, original research articles on related topics.
Previously published in the Journal of Elasticity, Volume 119, Issue 1-2, 2015.
Foreword.- 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.- Translation and Interpretation of Michael Sadowsky’s Paper “Theory of Elastically Bendable Inextensible Bands with Applications to Möbius Band”.- Translation of Michael Sadowsky’s Paper “The Differential Equations of the Möbius Band”.- Translation of W. Wunderlich’s “On a Developable Möbius Band.- Gamma-Limit of a Model for the Elastic Energy of an Inextensible Ribbon.- “Wunderlich, Meet Kirchhoff”: A General and Unified Description of Elastic Ribbons and Thin Rods.- Equilibrium Shapes with Stress Localisation for Inextensible Elastic Möbius and Other Strips.- Bending Paper and the Möbius Strip.- Roadmap to the Morphological Instabilities of a Stretched Twisted Ribbon.- The Shrinking Figure Eight and Other Solitons for the Curve Diffusion Flow.- Kinematical Aspects of Levi-Civita Transport of Vectors and Tensors Along a Surface Curve.- Non-Euclidean Ribbons.- The Second-Order L 2 Flow of Inextensible Elastic Curves with Hinged Ends in the Plane.- Buckling of Naturally Curved Elastic Strips: The Ribbon Model Makes a Difference.- Residual Stresses and Poisson’s Effect Drive Shape Formation and Transition of Helical Structures.- Representation for a Smooth Isometric Mapping from a Connected Planar Domain to a Surface.
| Erscheinungsdatum | 16.01.2018 |
|---|---|
| Zusatzinfo | 86 Illustrations, color; 26 Illustrations, black and white; VI, 352 p. 112 illus., 86 illus. in color. |
| Verlagsort | Dordrecht |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik | |
| Technik ► Maschinenbau | |
| Schlagworte | Dimensional reduction • Elasticity • Geometry and Mechanics • Michael A.Sadowsky • Moebius bands • Thin, Flexible Structural Elements • Walter Wunderlich |
| ISBN-10 | 94-024-0213-6 / 9402402136 |
| ISBN-13 | 978-94-024-0213-1 / 9789402402131 |
| Zustand | Neuware |
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