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Centrally symmetric quasistatic problem of thermoelasticity for a temperature sensitive body

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Abstract

The perturbation method is used to construct the general solution of a centrally symmetric quasistatic problem of elasticity under the assumption that all thermomechanical characteristics of a body are functions of temperature. As special cases, we obtain the solutions of the corresponding problems of thermoelasticity for hollow and continuous balls and a space containing a spherical cavity. We also perform the numerical analysis of the temperature field and the stress-strain state induced by this field in the space with spherical cavity free of external loads. Note that the process of convective heat exchange with an ambient medium of constant temperature is realized through this cavity.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv

    V. S. Popovych & H. T. Sulym

  2. Franko Lviv National University, Lviv

    V. S. Popovych & H. T. Sulym

Authors
  1. V. S. Popovych
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  2. H. T. Sulym
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 40, No. 3, pp. 62–68, May–June, 2004.

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Popovych, V.S., Sulym, H.T. Centrally symmetric quasistatic problem of thermoelasticity for a temperature sensitive body. Mater Sci 40, 365–375 (2004). https://doi.org/10.1007/s11003-005-0041-x

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  • DOI: https://doi.org/10.1007/s11003-005-0041-x

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