The Resource The mechanics of ribbons and Möbius bands, Roger Fosdick, Eliot Fried, editors

The mechanics of ribbons and Möbius bands, Roger Fosdick, Eliot Fried, editors

Label
The mechanics of ribbons and Möbius bands
Title
The mechanics of ribbons and Möbius bands
Statement of responsibility
Roger Fosdick, Eliot Fried, editors
Contributor
Editor
Subject
Genre
Language
eng
Summary
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
Cataloging source
N$T
Dewey number
516.3/5
Illustrations
illustrations
Index
no index present
LC call number
QA609
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Fosdick, Roger
  • Fried, Eliot
http://library.link/vocab/subjectName
  • Conformal geometry
  • Mechanics
Label
The mechanics of ribbons and Möbius bands, Roger Fosdick, Eliot Fried, editors
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-94-017-7300-3
Instantiates
Publication
Copyright
Note
"Previously published in Journal of Elasticity, volume 119, issues 1-2, 2015."
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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"; Abstract; References; Translation and Interpretation of Michael Sadowsky's Paper "Theory of Elastically Bendable Inextensible Bands with Applications to the Möbius Band"; Abstract; De nition of the Term Band Through Kinematic Properties; Rope or Wire; Band
  • Conclusions from the Kinematical De nition of a Band: Determination of the Virtual Torsion of the Accompanying Triad t, n, and b of the Midline Compatible with the Kinematical Properties of the BandThe Equations of Static Equilibrium and the Differential Equations of a Möbius Band; A Peculiar Implication for the Shape of a Möbius Band; Acknowledgements; Appendix: Interpretation and Explanation of Sect. 4 of Sadowsky's Paper; References; Translation of Michael Sadowsky's Paper "The Differential Equations of the Möbius Band"; Abstract; References
  • "Wunderlich, Meet Kirchhoff": A General and Uni ed Description of Elastic Ribbons and Thin RodsAbstract; Introduction; Geometry of a Developable Ribbon; Developable Transformation from Reference to Current Con guration; Edge Functions; Constraints Expressing Developability; Area Element; Curvature Tensor of the Deformed Ribbon; Elastic Energy; Equations of Equilibrium; Principle of Virtual Work for a Ribbon; Equations of Equilibrium; Complete Set of Equations for an Elastic Ribbon; Special Cases; Naturally Straight, Rectangular Ribbons; Sadowsky's Limit: Narrow Rectangular Ribbons
  • Helical RibbonsIllustrations; Buckling of a Cylindrical Ribbon; Overcurved and Undercurved Annular Ribbons; 3D Kirigami from 2D Cut-Out Patterns; Conclusion; Acknowledgements; Appendix: Curvature Tensor of a Developable Surface; References; Equilibrium Shapes with Stress Localisation for Inextensible Elastic Möbius and Other Strips; Abstract; Introduction; Geometry of a Developable Strip; Edge of Regression; The Energy Functional; Variational Principle and Equilibrium Equations; Variational Principle; Equations in the Original Variables kappa, eta; Hamiltonian; Symmetries
Dimensions
unknown
Extent
1 online resource (vi, 352 pages)
File format
unknown
Form of item
online
Isbn
9789401773003
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-94-017-7300-3
Other physical details
color illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)918892636
  • (OCoLC)ocn918892636
Label
The mechanics of ribbons and Möbius bands, Roger Fosdick, Eliot Fried, editors
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-94-017-7300-3
Publication
Copyright
Note
"Previously published in Journal of Elasticity, volume 119, issues 1-2, 2015."
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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"; Abstract; References; Translation and Interpretation of Michael Sadowsky's Paper "Theory of Elastically Bendable Inextensible Bands with Applications to the Möbius Band"; Abstract; De nition of the Term Band Through Kinematic Properties; Rope or Wire; Band
  • Conclusions from the Kinematical De nition of a Band: Determination of the Virtual Torsion of the Accompanying Triad t, n, and b of the Midline Compatible with the Kinematical Properties of the BandThe Equations of Static Equilibrium and the Differential Equations of a Möbius Band; A Peculiar Implication for the Shape of a Möbius Band; Acknowledgements; Appendix: Interpretation and Explanation of Sect. 4 of Sadowsky's Paper; References; Translation of Michael Sadowsky's Paper "The Differential Equations of the Möbius Band"; Abstract; References
  • "Wunderlich, Meet Kirchhoff": A General and Uni ed Description of Elastic Ribbons and Thin RodsAbstract; Introduction; Geometry of a Developable Ribbon; Developable Transformation from Reference to Current Con guration; Edge Functions; Constraints Expressing Developability; Area Element; Curvature Tensor of the Deformed Ribbon; Elastic Energy; Equations of Equilibrium; Principle of Virtual Work for a Ribbon; Equations of Equilibrium; Complete Set of Equations for an Elastic Ribbon; Special Cases; Naturally Straight, Rectangular Ribbons; Sadowsky's Limit: Narrow Rectangular Ribbons
  • Helical RibbonsIllustrations; Buckling of a Cylindrical Ribbon; Overcurved and Undercurved Annular Ribbons; 3D Kirigami from 2D Cut-Out Patterns; Conclusion; Acknowledgements; Appendix: Curvature Tensor of a Developable Surface; References; Equilibrium Shapes with Stress Localisation for Inextensible Elastic Möbius and Other Strips; Abstract; Introduction; Geometry of a Developable Strip; Edge of Regression; The Energy Functional; Variational Principle and Equilibrium Equations; Variational Principle; Equations in the Original Variables kappa, eta; Hamiltonian; Symmetries
Dimensions
unknown
Extent
1 online resource (vi, 352 pages)
File format
unknown
Form of item
online
Isbn
9789401773003
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-94-017-7300-3
Other physical details
color illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)918892636
  • (OCoLC)ocn918892636

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