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Nonlinear boundary value problems for the annular membrane: A note on uniqueness of positive solutions

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Abstract

The study of axisymmetric deformations of annular membranes under normal surface loads within the framework of the Föppl-Hencky small finite-deflection theory is continued after progress in this field has been made in the recent work of Grabmüller and Weinitschke [5]. When a radial displacement is applied at the inner edge and a radial tension or a displacement at the outer edge, the mathematical question of uniqueness of tensile solutions of the resulting nonlinear boundary value problems has not been settled yet. In this paper, uniqueness is proved in a parameter range of the boundary conditions, where previous methods have failed.

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References

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Martensstraße 3, D-8520, Erlangen, FRG

    Hans Grabmüller

  2. Mathematisches Institut, Friedrich-Alexander-Universität Erlangen-Nürnberg, Bismarckstraße 11/2, D-8520, Erlangen, FRG

    Erich Novak

Authors
  1. Hans Grabmüller
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  2. Erich Novak
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Grabmüller, H., Novak, E. Nonlinear boundary value problems for the annular membrane: A note on uniqueness of positive solutions. J Elasticity 17, 279–284 (1987). https://doi.org/10.1007/BF00049458

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  • DOI: https://doi.org/10.1007/BF00049458

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