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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2015, Volume 56, Issue 6, Pages 102–110
DOI: https://doi.org/10.15372/PMTF20150612 (Mi pmtf1290) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Two-dimensional nonstationary problem of elastic diffusion for an isotropic one-component layer

A. V. Zemskova, D. V. Tarlakovskiib

a Moscow Aviation Institute (National Research University), Moscow, 125993, Russia
b Institute of Mechanics of the Lomonosov Moscow State University, Moscow, 119192, Russia
Full-text PDF (316 kB) Citations (16)
DOI: https://doi.org/10.15372/PMTF20150612
Abstract: A locally equilibrium model of mechanodiffusion which comprises a coupled system of motion equations for an elastic body and a mass transfer equation is used to solve the two-dimensional nonstationary problem of elastic diffusion for an isotropic one-component layer. The solution is constructed using Fourier series, Laplace time transforms, and Fourier transforms for the spatial coordinate. The Laplace transform originals are found analytically, and the Fourier transforms are inverted by quadrature formulas.
Keywords: nonstationary elastic diffusion, isotropic layer, Laplace and Fourier transforms, Fourier series.
Received: 08.06.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2015, Volume 56, Issue 6, Pages 1023–1030
DOI: https://doi.org/10.1134/S0021894415060127
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. V. Zemskov, D. V. Tarlakovskii, “Two-dimensional nonstationary problem of elastic diffusion for an isotropic one-component layer”, Prikl. Mekh. Tekh. Fiz., 56:6 (2015), 102–110; J. Appl. Mech. Tech. Phys., 56:6 (2015), 1023–1030
Citation in format AMSBIB
\Bibitem{ZemTar15}
\by A.~V.~Zemskov, D.~V.~Tarlakovskii
\paper Two-dimensional nonstationary problem of elastic diffusion for an isotropic one-component layer
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 6
\pages 102--110
\mathnet{http://mi.mathnet.ru/pmtf1290}
\crossref{https://doi.org/10.15372/PMTF20150612}
\elib{https://elibrary.ru/item.asp?id=25373165}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 6
\pages 1023--1030
\crossref{https://doi.org/10.1134/S0021894415060127}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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