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Axisymmetric thermoelastic interactions in an unbounded body with cylindrical cavity

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Thermoelastic interactions in a linear, homogeneous and transversely isotropic unbounded body containing a cylindrical cavity due to a uniform step in stress or temperature applied to the boundary of the cavity are studied. A unified system of governing equations that includes among its particular cases the governing equations of the conventional and generalized thermoelasticity theories is employed. By the use of the Laplace transform technique, short time solutions for the temperature, displacement radial stress and hoop stress are constructed. The discontinuities suffered by these fields at the wavefronts are computed. Comparison with the corresponding results obtained in earlier works is made. Numerical results for a single crystal of zinc are presented.

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Author notes

  1. D. S. Chandrasekharaiah

    Present address: Department of Mathematics, Bangalore University, Central College Campus, 560001, Bangalore, India

  2. H. R. Keshavan

    Present address: Department of Mathematics, M. S. Ramaiah Institute of Technology, 560054, Bangalore, India

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    1. D. S. Chandrasekharaiah
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    2. H. R. Keshavan
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    Chandrasekharaiah, D.S., Keshavan, H.R. Axisymmetric thermoelastic interactions in an unbounded body with cylindrical cavity. Acta Mechanica 92, 61–76 (1992). https://doi.org/10.1007/BF01174167

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    • DOI: https://doi.org/10.1007/BF01174167

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