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  • © 2016

The Mechanics of Ribbons and Möbius Bands

  • 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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Table of contents (18 chapters)

  1. Front Matter

    Pages I-VI
  2. Foreword

    • Roger Fosdick, Eliot Fried
    Pages 1-2
  3. Bending Paper and the Möbius Strip

    • Sören Bartels, Peter Hornung
    Pages 113-136
  4. Roadmap to the Morphological Instabilities of a Stretched Twisted Ribbon

    • Julien Chopin, Vincent Démery, Benny Davidovitch
    Pages 137-189
  5. The Shrinking Figure Eight and Other Solitons for the Curve Diffusion Flow

    • Maureen Edwards, Alexander Gerhardt-Bourke, James McCoy, Glen Wheeler, Valentina-Mira Wheeler
    Pages 191-211
  6. Non-Euclidean Ribbons

    • Efi Efrati
    Pages 251-261
  7. The Second-Order \(L^{2}\)-Flow of Inextensible Elastic Curves with Hinged Ends in the Plane

    • Chun-Chi Lin, Yang-Kai Lue, Hartmut R. Schwetlick
    Pages 263-291

About this book

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.

Editors and Affiliations

  • Aeropsace Engineering and Mechanics, University of Minnesota, Minneapolis, USA

    Roger Fosdick

  • Okinawa Institute of Science and Technol Mathematical Soft Matter Unit, Okinawa, Japan

    Eliot Fried

Bibliographic Information

  • Book Title: The Mechanics of Ribbons and Möbius Bands

  • Editors: Roger Fosdick, Eliot Fried

  • DOI: https://doi.org/10.1007/978-94-017-7300-3

  • Publisher: Springer Dordrecht

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-94-017-7299-0Published: 27 August 2015

  • Softcover ISBN: 978-94-024-0213-1Published: 23 August 2016

  • eBook ISBN: 978-94-017-7300-3Published: 14 August 2015

  • Edition Number: 1

  • Number of Pages: VI, 352

  • Number of Illustrations: 26 b/w illustrations, 86 illustrations in colour

  • Topics: Solid Mechanics, Computational Science and Engineering, Biological and Medical Physics, Biophysics, Nanotechnology

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access