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Some static problems for the nonlinear elastic string

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Summary

Finite elastic deformations of an elastic string subjected to a vertical and a normal force are investigated, supplementing earlier results by Dickey and adding some new results, including considerations of the stability of the solutions. The relation of the solutions of the exact nonlinear theory to an approximate engineering theory of Föppl is discussed.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Erlangen-Nürnberg, Erlangen, Germany

    U. Schmidt & H. J. Weinitschke

Authors
  1. U. Schmidt
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  2. H. J. Weinitschke
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Additional information

Part of the results were presented by the second-named author at a meeting on Continuum Mechanics in Oberwolfach, January 1980.

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Schmidt, U., Weinitschke, H.J. Some static problems for the nonlinear elastic string. J Eng Math 17, 149–189 (1983). https://doi.org/10.1007/BF00036596

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  • DOI: https://doi.org/10.1007/BF00036596

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