000 03773nam a22005295i 4500
001 978-94-017-7300-3
003 DE-He213
005 20200421111852.0
007 cr nn 008mamaa
008 150814s2016 ne | s |||| 0|eng d
020 _a9789401773003
_9978-94-017-7300-3
024 7 _a10.1007/978-94-017-7300-3
_2doi
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
245 1 4 _aThe Mechanics of Ribbons and M�obius Bands
_h[electronic resource] /
_cedited by Roger Fosdick, Eliot Fried.
250 _a1st ed. 2016.
264 1 _aDordrecht :
_bSpringer Netherlands :
_bImprint: Springer,
_c2016.
300 _aVI, 352 p. 112 illus., 86 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aForeword -- Translation of Michael Sadowsky's Paper "An Elementary Proof for the Existence of a Developable M�obius 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 M�obius Band" -- Translation of Michael Sadowsky's Paper "The Differential Equations of the M�obius Band" -- Translation of W. Wunderlich's "On a Developable M�obius 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 M�obius and Other Strips -- Bending Paper and the M�obius 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 _aRecent 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 _aEngineering.
650 0 _aComputer mathematics.
650 0 _aContinuum mechanics.
650 0 _aNanotechnology.
650 1 4 _aEngineering.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aComputational Science and Engineering.
650 2 4 _aBiological and Medical Physics, Biophysics.
650 2 4 _aNanotechnology.
700 1 _aFosdick, Roger.
_eeditor.
700 1 _aFried, Eliot.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789401772990
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-017-7300-3
912 _aZDB-2-ENG
942 _cEBK
999 _c56150
_d56150