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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2015, Volume 56, Issue 6, Pages 59–69
DOI: https://doi.org/10.15372/PMTF20150608 (Mi pmtf1286) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Unsteady axisymmetric deformation of an elastic thick-walled sphere under the action of volume forces

V. A. Vestyaka, D. V. Tarlakovskiib

a Moscow Aviation Institute (National Research University), Moscow, 125993, Russia
b Research Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192, Russia
Full-text PDF (361 kB) Citations (8)
DOI: https://doi.org/10.15372/PMTF20150608
Abstract: This paper considers a homogeneous isotropic elastic body bounded by concentric spheres and acted upon by axisymmetric unsteady volume forces. Displacement fields are determined using series expansions in Legendre and Gegenbauer polynomials, Laplace transforms in time, and integral representations with kernels in the form of Green's functions. Explicit formulas for the Green's functions are constructed that allow accurate determination of the originals. Examples of the calculations are presented.
Keywords: elastic thick-walled sphere, unsteady axisymmetric volume forces, series in Legendre and Gegenbauer polynomials, Laplace transform, Green's functions.
Received: 08.06.2015
Revised: 13.07.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2015, Volume 56, Issue 6, Pages 984–994
DOI: https://doi.org/10.1134/S0021894415060085
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. A. Vestyak, D. V. Tarlakovskii, “Unsteady axisymmetric deformation of an elastic thick-walled sphere under the action of volume forces”, Prikl. Mekh. Tekh. Fiz., 56:6 (2015), 59–69; J. Appl. Mech. Tech. Phys., 56:6 (2015), 984–994
Citation in format AMSBIB
\Bibitem{VesTar15}
\by V.~A.~Vestyak, D.~V.~Tarlakovskii
\paper Unsteady axisymmetric deformation of an elastic thick-walled sphere under the action of volume forces
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 6
\pages 59--69
\mathnet{http://mi.mathnet.ru/pmtf1286}
\crossref{https://doi.org/10.15372/PMTF20150608}
\elib{https://elibrary.ru/item.asp?id=25373161}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 6
\pages 984--994
\crossref{https://doi.org/10.1134/S0021894415060085}
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  • https://www.mathnet.ru/eng/pmtf/v56/i6/p59
    • This publication is cited in the following 8 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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