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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 4(29), Pages 115–121
DOI: https://doi.org/10.14498/vsgtu1085 (Mi vsgtu1085) 		 
Mechanics of Solids

Low-frequency long-wave approximations of the 3D dynamic equations for the case of double-layered viscoelastic plate

N. S. Anofrikova, M. V. Vil'de

Saratov State University named after N. G. Chernyshevsky, Saratov, Russia
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DOI: https://doi.org/10.14498/vsgtu1085
Abstract: The asymptotic methods developed to obtain low-frequency long-wave approximations of the 3D dynamic equations for the case of double-layered viscoelastic plate are described. The 2D equations for the leading tangential and transverse approximations of stress-strain state are derived. The method of asymptotic integration of exact 3D equations is applied.
Keywords: double-layered plate, viscoelasticity, asymptotic methods, low-frequency long-wave approximations.
Original article submitted 19/V/2012
revision submitted – 14/IX/2012
Bibliographic databases:
Document Type: Article
UDC: 539.3
MSC: Primary 74J30; Secondary 74K25, 74K20, 74H10
Language: Russian
Citation: N. S. Anofrikova, M. V. Vil'de, “Low-frequency long-wave approximations of the 3D dynamic equations for the case of double-layered viscoelastic plate”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(29) (2012), 115–121
Citation in format AMSBIB
\Bibitem{AnoWil12}
\by N.~S.~Anofrikova, M.~V.~Vil'de
\paper Low-frequency long-wave approximations of~the 3D~dynamic equations for~the~case of~double-layered viscoelastic plate
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 4(29)
\pages 115--121
\mathnet{http://mi.mathnet.ru/vsgtu1085}
\crossref{https://doi.org/10.14498/vsgtu1085}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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