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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 4, Pages 22–45
DOI: https://doi.org/10.15372/PMTF20170403 (Mi pmtf678) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Symmetry groups of integrodifferential equations for linear thermoviscoelastic materials with memory

L.-Q. Zhoua, S. V. Meleshkob

a School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, 550025, China
b School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand
Full-text PDF (292 kB) Citations (8)
DOI: https://doi.org/10.15372/PMTF20170403
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.
Keywords: linear thermoviscoelasticity, symmetry groups, partially invariant solutions, integrodifferential equations.
Funding agency Grant number
Guizhou University of Finance and Economics
Received: 30.06.2016
Revised: 28.08.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 4, Pages 587–609
DOI: https://doi.org/10.1134/S0021894417040034
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: L.-Q. Zhou, S. V. Meleshko, “Symmetry groups of integrodifferential equations for linear thermoviscoelastic materials with memory”, Prikl. Mekh. Tekh. Fiz., 58:4 (2017), 22–45; J. Appl. Mech. Tech. Phys., 58:4 (2017), 587–609
Citation in format AMSBIB
\Bibitem{ZhoMel17}
\by L.-Q.~Zhou, S.~V.~Meleshko
\paper Symmetry groups of integrodifferential equations for linear thermoviscoelastic materials with memory
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 4
\pages 22--45
\mathnet{http://mi.mathnet.ru/pmtf678}
\crossref{https://doi.org/10.15372/PMTF20170403}
\elib{https://elibrary.ru/item.asp?id=29823149}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 4
\pages 587--609
\crossref{https://doi.org/10.1134/S0021894417040034}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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