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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 4, Pages 140–146 (Mi pmtf2409)  
Averaging of a layered elastic medium with low dynamic dissipation at the interlayer boundary

Yu. A. Bogan

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (177 kB)
Abstract: Averaged relations for a layered medium with dynamic dissipation at the interlayer boundary are constructed for dynamic problems of longitudinal shear and two-dimensional theory of elasticity. For low dissipation, the averaged boundary-value problem is shown to be singularly perturbed. The degeneration of the boundary-value problem is studied qualitatively.
Keywords: elasticity theory, longitudinal shear, averaging.
Received: 24.10.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 4, Pages 575–579
DOI: https://doi.org/10.1023/B:JAMT.0000030337.59037.93
Bibliographic databases:
Document Type: Article
UDC: 593.3
Language: Russian
Citation: Yu. A. Bogan, “Averaging of a layered elastic medium with low dynamic dissipation at the interlayer boundary”, Prikl. Mekh. Tekh. Fiz., 45:4 (2004), 140–146; J. Appl. Mech. Tech. Phys., 45:4 (2004), 575–579
Citation in format AMSBIB
\Bibitem{Bog04}
\by Yu.~A.~Bogan
\paper Averaging of a layered elastic medium with low dynamic dissipation at the interlayer boundary
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 4
\pages 140--146
\mathnet{http://mi.mathnet.ru/pmtf2409}
\elib{https://elibrary.ru/item.asp?id=17249227}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 4
\pages 575--579
\crossref{https://doi.org/10.1023/B:JAMT.0000030337.59037.93}
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