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An axisymmetric steady-state thermoelastic problem of an external circular crack in an isotropic thick plate

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Abstract

A steady state thermoelastic mixed boundary value problem for an isotropic thick plate is considered in this paper. The faces of an external circular crack situated in the mid-plane of the plate are opened up by the application of temperature while the bounding surface of the plate are maintained at a constant zero temperature. Solution valid for large values of the ratio of the plate thickness to the diameter of the crack has been obtained. Expressions for various quantities of physical interest are derived by finding iterative solutions of the equations and the results are shown graphically.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, 700032, Calcutta, India

    Rina Bhowmick & Bikash Ranjan Das

Authors
  1. Rina Bhowmick
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  2. Bikash Ranjan Das
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Bhowmick, R., Das, B.R. An axisymmetric steady-state thermoelastic problem of an external circular crack in an isotropic thick plate. Proc. Indian Acad. Sci. (Math. Sci.) 105, 445–459 (1995). https://doi.org/10.1007/BF02836880

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  • DOI: https://doi.org/10.1007/BF02836880

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