國立虎尾科技大學 |

The Mechanics of Ribbons and Möbius Bands

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Mechanics of Ribbons and Möbius Bands/ edited by Roger Fosdick, Eliot Fried.
其他作者:	Fosdick, Roger.
面頁冊數:	VI, 352 p. 112 illus., 86 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mechanics. -
電子資源:	https://doi.org/10.1007/978-94-017-7300-3
ISBN:	9789401773003

The Mechanics of Ribbons and Möbius Bands
The Mechanics of Ribbons and Möbius Bands[electronic resource] /edited by Roger Fosdick, Eliot Fried. - 1st ed. 2016. - VI, 352 p. 112 illus., 86 illus. in color.online resource.

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.

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

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

527684
Mechanics.

LC Class. No.: TA349-359

Dewey Class. No.: 531

The Mechanics of Ribbons and Möbius Bands
LDR:03393nam a22003975i 4500 001 977749
003 DE-He213
005 20200705024417.0
007 cr nn 008mamaa
008 201211s2016 ne | s |||| 0|eng d
020 $a 9789401773003 $9 978-94-017-7300-3
024 7 $a 10.1007/978-94-017-7300-3 $2 doi
035 $a 978-94-017-7300-3
050 4 $a TA349-359
072 7 $a TGMD $2 bicssc
072 7 $a SCI096000 $2 bisacsh
072 7 $a TGMD $2 thema
082 0 4 $a 531 $2 23
245 1 4 $a The Mechanics of Ribbons and Möbius Bands $h [electronic resource] / $c edited by Roger Fosdick, Eliot Fried.
250 $a 1st ed. 2016.
264 1 $a Dordrecht : $b Springer Netherlands : $b Imprint: Springer, $c 2016.
300 $a VI, 352 p. 112 illus., 86 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a 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.
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.
650 0 $a Mechanics. $3 527684
650 0 $a Mechanics, Applied. $3 596630
650 0 $a Computer mathematics. $3 1199796
650 0 $a Biophysics. $3 581576
650 0 $a Biological physics. $3 1253579
650 0 $a Nanotechnology. $3 557660
650 1 4 $a Solid Mechanics. $3 1211586
650 2 4 $a Computational Science and Engineering. $3 670319
650 2 4 $a Biological and Medical Physics, Biophysics. $3 1113305
700 1 $a Fosdick, Roger. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1101887
700 1 $a Fried, Eliot. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1101888
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789401772990
776 0 8 $i Printed edition: $z 9789401773010
776 0 8 $i Printed edition: $z 9789402402131
856 4 0 $u https://doi.org/10.1007/978-94-017-7300-3
912 $a ZDB-2-ENG
912 $a ZDB-2-SXE
950 $a Engineering (SpringerNature-11647)
950 $a Engineering (R0) (SpringerNature-43712)