Abstract
We propose a method for approximate solution of the problem of finding the thermally stressed state of a magnetically hard layer that is subject to the action of an external steady magnetic field. We obtain the general solution of the temperature fields and displacements for the two-dimensional problem. Bibliography: 5 titles.
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Ya. I. Burak, A. R. Gachkevich, and M. T. Solodyak, “Thermoelasticity of electrically conducting magnetically soft bodies in external steady electromagnetic fields,”Dokl. Akad. Nauk UkrSSR, Ser. A, No. 2, 43–47 (1987).
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A. R. Gachkevich and M. T. Solodyak, “Temperature fields and stresses in a magnetically hard elastic layer under induction heating in a time-periodic electromagnetic field,”Mat. Met. i Fiz. -Mekh. Polya, No. 13, 69–76 (1981).
A. R. Gachkevich and M. T. Solodyak, “Thermoelasticity of electrically conducting ferromagnetic bodies under induction heating by quasistationary electromagnetic fields,” in:Third All-union Symposium on Theoretical Questions of Magnetoelasticity [in Russian], (Erevan, 17–21 Sept., 1984), pp. 56–59.
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Translated fromMatematicheskie Melody i Fiziko-Mekhanicheskie Polya, Issue 30, 1989, pp. 63–69.
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Solodyak, M.T. The two-dimensional uncoupled problem of magnetothermoelasticity for a magnetically hard layer. J Math Sci 63, 364–370 (1993). https://doi.org/10.1007/BF01255744
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DOI: https://doi.org/10.1007/BF01255744