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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 5, Pages 76–89
DOI: https://doi.org/10.15372/PMTF20160509 (Mi pmtf793) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Green's function for a prestressed thermoelasticity half-space with an inhomogeneous coating

T. I. Belyankova, V. V. Kalinchuk

Southern Scientific Center, Russian Academy of Sciences, Rostov-on-Don, 344006, Russia
Full-text PDF (257 kB) Citations (3)
DOI: https://doi.org/10.15372/PMTF20160509
Abstract: A mathematical model is developed for an inhomogeneous thermoelastic prestressed half-space consisting of a stack of homogeneous or functionally graded layers rigidly attached to a homogeneous base. Each component of the inhomogeneous medium is subjected to initial mechanical stresses and temperature. Successive linearization of the constitutive relations of the nonlinear mechanics of a thermoelastic medium is performed using the theory of superposition of small deformations on finite deformations with the inhomogeneity of the medium taken into account. Integral formulas are derived to explore dynamic processes in inhomogeneous prestressed thermoelastic media.
Keywords: thermoelasticity, functionally graded material, prestressed thermoelastic medium with a coating, initial stresses, preheating, three-dimensional Green's function.
Received: 08.06.2015
Revised: 02.09.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 5, Pages 828–840
DOI: https://doi.org/10.1134/S0021894416050096
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: T. I. Belyankova, V. V. Kalinchuk, “Green's function for a prestressed thermoelasticity half-space with an inhomogeneous coating”, Prikl. Mekh. Tekh. Fiz., 57:5 (2016), 76–89; J. Appl. Mech. Tech. Phys., 57:5 (2016), 828–840
Citation in format AMSBIB
\Bibitem{BelKal16}
\by T.~I.~Belyankova, V.~V.~Kalinchuk
\paper Green's function for a prestressed thermoelasticity half-space with an inhomogeneous coating
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 5
\pages 76--89
\mathnet{http://mi.mathnet.ru/pmtf793}
\crossref{https://doi.org/10.15372/PMTF20160509}
\elib{https://elibrary.ru/item.asp?id=27178522}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 5
\pages 828--840
\crossref{https://doi.org/10.1134/S0021894416050096}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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