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Journal of Elasticity

, Volume 119, Issue 1–2, pp 113–136 | Cite as

Bending Paper and the Möbius Strip

  • Sören Bartels
  • Peter Hornung
Article

Abstract

We present some rigorous results about the bending behaviour of paper. By adapting these results to the Möbius strip, we obtain some qualitative properties of developable Möbius strips which minimize the bending energy. We also provide some numerical simulations which illustrate and strengthen the analytic results.

Keywords

Nonlinear elasticity Plate theory Mobius strip Isometric immersions 

Mathematics Subject Classification

74K20 74B20 49Q10 65N30 53A05 

Notes

Acknowledgements

The authors are grateful to Alexis Papathanassopoulos for providing the results of the numerical simulations. The second author was supported by Deutsche Forschungsgemeinschaft grant no. HO-4697/1-1.

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Abteilung für Angewandte MathematikAlbert-Ludwigs-Universität FreiburgFreiburgGermany
  2. 2.Institut für Angewandte MathematikUniversität BonnBonnGermany

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