The Mechanics of Ribbons and Möbius Bands
Editors: Fosdick, Roger, Fried, Eliot (Eds.)
Free Preview- Authoritative English translations of three seminal, but little known, papers on the topic
- Original research papers by contemporary authorities on the topic
- Cross-cutting connections between the fields of geometry, mechanics, biology, and nanotechnology
- Comprehensive introduction written by editors
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- About this book
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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.
- Table of contents (18 chapters)
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Foreword
Pages 1-2
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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”
Pages 3-6
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Translation and Interpretation of Michael Sadowsky’s Paper “Theory of Elastically Bendable Inextensible Bands with Applications to the Möbius Band”
Pages 7-17
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Translation of Michael Sadowsky’s Paper “The Differential Equations of the Möbius Band”
Pages 19-22
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Translation of W. Wunderlich’s “On a Developable Möbius Band”
Pages 23-34
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Table of contents (18 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- The Mechanics of Ribbons and Möbius Bands
- Editors
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- Roger Fosdick
- Eliot Fried
- Copyright
- 2016
- Publisher
- Springer Netherlands
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-94-017-7300-3
- DOI
- 10.1007/978-94-017-7300-3
- Hardcover ISBN
- 978-94-017-7299-0
- Softcover ISBN
- 978-94-024-0213-1
- Edition Number
- 1
- Number of Pages
- VI, 352
- Number of Illustrations
- 26 b/w illustrations, 86 illustrations in colour
- Topics