Abstract
This article is a translation of Michael Sadowsky’s original paper “Theorie der elastisch biegsamen undehnbaren Bänder mit Anwendungen auf das Möbius’sche Band” in 3. internationaler Kongress für technische Mechanik, Stockholm, 1930. The translation is augmented by an Appendix containing an interpretation of the last section of Sadowsky’s original paper, including figures generated from recent numerical simulations.
Citations of this translation should refer also to Sadowsky’s original paper, as cited in the Abstract.
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References
Sadowsky, M.: Ein elementarer Beweis für die Existenz eines abwickelbaren Möbiusschen Bandes und die Zurückführung des geometrischen Problems auf ein Variationsproblem. Sitz.ber. Preuss. Akad. Wiss. Berl. Philos.-Hist. Kl. 22, 412–415 (1930)
Hamel, G.: Über die Mechanik der Drähte und Seile. Sitzungsber. Berl. Math. Ges. 25, 3–8 (1926)
Hamel, G.: Die Axiome der Mechanik. In: von Geiger, H., Scheel, K. (eds.) Handbuch der Physik, vol. 5, pp. 1–42. Springer, Berlin (1927)
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Hamel, G.: Lehrbuch der elementaren Mechanik, 1st edn., vol. 36. Teubner, Leipzig (1912), § 36
Kleiman, D.M., Hinz, D.F., Fried, E.: Stretchable Möbius bands. Proceedings of the National Academy of Sciences of the United States of America (submitted)
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Hinz, D.F., Fried, E. (2016). Translation and Interpretation of Michael Sadowsky’s Paper “Theory of Elastically Bendable Inextensible Bands with Applications to the Möbius Band”. In: Fosdick, R., Fried, E. (eds) The Mechanics of Ribbons and Möbius Bands. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-7300-3_3
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DOI: https://doi.org/10.1007/978-94-017-7300-3_3
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