Symmetry Groups of Integrodifferential Equations for Linear Thermoviscoelastic Materials with Memory
L.-Q. Zhou1,2, S. V. Meleshko2
1Guizhou University of Finance and Economics, Guiyang, Guizhou, 550025, China
2Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand
Keywords: линейная термовязкоупругость, группы симметрии, частично инвариантные решения, интегродифференциальные уравнения, linear thermoviscoelasticity, symmetry groups, partially invariant solutions, integrodifferential equations
Abstract
The group analysis method is applied to a system of integrodifferential 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 governing equations for the system is obtained. Using subalgebras of the admissible Lie algebra, two classes of partially invariant solutions of the considered system of integrodifferential equations are studied.
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