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Generalized dynamic problem of thermoelasticity for a two-layer space

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A closed-form solution of the generalized unsteady heat-conduction problem and dynamic thermoelasticity problem is constructed for an elastic isotropic two-layer space free from external disturbances. Some common practical cases are examined.

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Literature cited

  1. 1.

    A. G. Kurosh, A Course of Higher Algebra [in Russian], Fizmatgiz, Moscow (1963).

  2. 2.

    M. A. Lavrent'ev and B. V. Shabat, Methods of the Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1973).

  3. 3.

    H. Parkus, Unsteady-State Temperature Stresses [in Russian], Fizmatgiz, Moscow (1963).

  4. 4.

    Ya. S. Podstrigach and Yu. M. Kolyano, Generalized Thermomechanics [in Russian], Naukova Dumka, Kiev (1976).

  5. 5.

    V. V. Stepanov, A Course of Differential Equations [in Russian], Fizmatgiz, Moscow (1959).

  6. 6.

    K. J. Trenter, Integral Transforms in Mathematical Physics [in Russian], Gostekhteorizdat, Moscow (1956).

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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 62, pp. 56–64, 1987.

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Lenyuk, M.P., Shestopal, N.M. Generalized dynamic problem of thermoelasticity for a two-layer space. J Math Sci 63, 551–557 (1993). https://doi.org/10.1007/BF01142529

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  • Dynamic Problem
  • External Disturbance
  • Practical Case
  • Thermoelasticity Problem
  • Dynamic Thermoelasticity