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New approximate solutions of the problem of the thermomechanics of a hollow cylinder with a material of variable properties

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Abstract

We use the method of equivalent sources to obtain approximate solutions of an unrestricted quasistatic axisymmetric problem of the thermomechanics of a long hollow cylinder with ends fastened and materials whose properties depend on the temperature. We perform a comparative analysis of the results with the solutions obtained by the method of perturbations and the method of finite differences.

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Authors
  1. Yu. S. Postol'nik
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  2. V. N. Litvinenko
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 27, 1988, pp. 71–74.

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Postol'nik, Y.S., Litvinenko, V.N. New approximate solutions of the problem of the thermomechanics of a hollow cylinder with a material of variable properties. J Math Sci 62, 2565–2569 (1992). https://doi.org/10.1007/BF01099150

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  • DOI: https://doi.org/10.1007/BF01099150

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