Abstract
The group analysis method is applied to a system of integro-differential equations corresponding to a linear thermoviscoelastic model. A recently developed approach for calculating the symmetry groups of such equations is used. The general solution of the determining equations for the system is obtained. Using subalgebras of the admitted Lie algebra, two classes of partially invariant solutions of the considered system of integro-differential equations are studied.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 58, No. 4, pp. 22–45, July–August, 2017.
Original Russian Text © L.-Q. Zhou, S.V. Meleshko.
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Zhou, LQ., Meleshko, S.V. Symmetry groups of integro-differential equations for linear thermoviscoelastic materials with memory. J Appl Mech Tech Phy 58, 587–609 (2017). https://doi.org/10.1134/S0021894417040034
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DOI: https://doi.org/10.1134/S0021894417040034