Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
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Print ISSN 0025-6544
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S. A. Lychev, "Coupled dynamic thermoviscoelasticity problem," Mech. Solids. 43 (5), 769-784 (2008)
Year 2008 Volume 43 Number 5 Pages 769-784
DOI 10.3103/S0025654408050129
Title Coupled dynamic thermoviscoelasticity problem
Author(s) S. A. Lychev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia,
Abstract We construct a closed analytic solution of a coupled dynamic thermoviscoelasticity problem for bodies of canonical shape. The solution is represented in the form of spectral expansions in a biorthogonal eigenfunction system of the nonself-adjoint pencil of differential operators generated by the problem under study. The spectral expansions are obtained with the help of a special class of nonsymmetric integral transforms.
Received 02 December 2005
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