Abstract
The conditions are formulated for the existence of a temperature-time analogy in stationary temperature fields for hereditary viscoelastic media which are described by Volterra equations of the second kind with a singular relaxation kernel. A time transformation has been found for a nonstationary temperature field which results in the heredity equation becoming invariant with respect to temperature.
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Literature cited
D. Blend, The Theory of Linear Viscoelasticity [Russian translation], Moscow (1965).
A. A. Il'yushin, Mekh. Polim., No. 2, 210 (1968).
A. A. Il'yushin and P. M. Ogibalov, Mekh. Polim., No. 3, 33 (1965).
A. A. Il'yushin and P. M. Ogibalov, Mekh. Polim., No. 6, 828 (1966).
M. A. Koltunov, Mekh. Polim., No. 6, 989 (1967).
A. R. Rzhanitsyn, Some Problems of the Mechanics of Systems Deformed in Time [in Russian], Moscow (1949).
M. A. Koltunov and V. N. Bezukhov, Vest. Moscov. Gos. Univ.,6, 64 (1963).
M. A. Koltunov, Mekh. Polim., No. 4, 483 (1966).
M. A. Koltunov, Doctoral Dissertation, Tomsk. Gos. Univ. (1966).
Additional information
The M. V. Lomonosov State University. Translated from Mekhanika Polimerov, No. 2, pp. 217–222, March–April, 1970.
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Koltunov, M.A., Troyanovskii, I.E. The conditions for the existence of a temperature - time analogy. Polymer Mechanics 6, 196–200 (1970). https://doi.org/10.1007/BF00859189
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DOI: https://doi.org/10.1007/BF00859189