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The elastic-plastic spherical shell with nonlinear hardening subject to a radial temperature gradient

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Subject of this paper is the quasi-analytical treatment of the elastic-plastic spherical shell whose inner surface is heated slowly. The hardening behavior of the material is presumed isotropic, but it need not be specified beyond that. A first plastic region forms at the inner surface, and, for not too thick-walled shells, a second plastic region appears at the outer surface. The general results are specialized to linear hardening and thereafter to Swift's hardening law with the power one half. Numerical results are represented graphically.

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Author notes

  1. Y. Orçan

    Present address: Department of Engineering Science, Middle East Technical University, 06531, Ankara, Turkey

  2. U. Gamer

    Present address: Institut für Mechanik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040, Wien, Austria

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    1. Y. Orçan
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    2. U. Gamer
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    Orçan, Y., Gamer, U. The elastic-plastic spherical shell with nonlinear hardening subject to a radial temperature gradient. Acta Mechanica 102, 183–198 (1994). https://doi.org/10.1007/BF01178526

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    • DOI: https://doi.org/10.1007/BF01178526

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