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The mechanics of ribbons and Mobius ...

Fosdick, Roger.

The mechanics of ribbons and Mobius bands

Record Type:	Electronic resources : Monograph/item
Title/Author:	The mechanics of ribbons and Mobius bandsedited by Roger Fosdick, Eliot Fried.
other author:	Fosdick, Roger.
Published:	Dordrecht :Springer Netherlands :2016.
Description:	vi, 352 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Conformal geometry.
Online resource:	http://dx.doi.org/10.1007/978-94-017-7300-3
ISBN:	9789401773003$q(electronic bk.)

The mechanics of ribbons and Mobius bands
The mechanics of ribbons and Mobius bands[electronic resource] /edited by Roger Fosdick, Eliot Fried. - Dordrecht :Springer Netherlands :2016. - vi, 352 p. :ill., digital ;24 cm.

Foreword -- Translation of Michael Sadowsky's Paper "An Elementary Proof for the Existence of a Developable Mobius 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 Mobius Band" -- Translation of Michael Sadowsky's Paper "The Differential Equations of the Mobius Band" -- Translation of W. Wunderlich's "On a Developable Mobius 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 Mobius and Other Strips -- Bending Paper and the Mobius 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.

Recent developments in biology and nanotechnology have stimulated a rapidly growing interest in the mechanics of thin, flexible ribbons and Mobius bands. 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.

ISBN: 9789401773003$q(electronic bk.)

Standard No.: 10.1007/978-94-017-7300-3doiSubjects--Topical Terms:

468280
Conformal geometry.

LC Class. No.: QA609

Dewey Class. No.: 516.35

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505 0 $a Foreword -- Translation of Michael Sadowsky's Paper "An Elementary Proof for the Existence of a Developable Mobius 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 Mobius Band" -- Translation of Michael Sadowsky's Paper "The Differential Equations of the Mobius Band" -- Translation of W. Wunderlich's "On a Developable Mobius 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 Mobius and Other Strips -- Bending Paper and the Mobius 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.
520 $a Recent developments in biology and nanotechnology have stimulated a rapidly growing interest in the mechanics of thin, flexible ribbons and Mobius bands. 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.
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