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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 1, Pages 108–114 (Mi pmtf1106)  
This article is cited in 7 scientific papers (total in 7 papers)

Numerical-analytic investigation of the dynamics of viscoelastic and porous elastic bodies

L. A. Igumnov, A. V. Amenitskii, A. A. Belov, S. Yu. Litvinchuk, A. N. Petrov

Research Institute of Mechanics of Lobachevsky Nizhnii Novgorod State University, Nizhnii Novgorod, 603950, Russia
Full-text PDF (352 kB) Citations (7)
Abstract: This paper presents the results of mathematical and discrete modeling of linear dynamics problems for three-dimensional viscoelastic and porous elastic bodies. The employed methods and approaches are based on formulating boundary integral equations solved using boundary elements. The model of a standard viscoelastic body is employed as the viscoelastic model. The properties of porous elastic materials are described using the full Biot model with four basic functions. Examples of numerical solutions of the problems are compared with known results of solutions.
Keywords: method of boundary integral equations, viscoelasticity, porous elastic bodies, inversion of the Laplace transform.
Received: 06.06.2013
English version:
Journal of Applied Mechanics and Technical Physics, 2014, Volume 55, Issue 1
DOI: https://doi.org/10.1134/S002189441401012X
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: L. A. Igumnov, A. V. Amenitskii, A. A. Belov, S. Yu. Litvinchuk, A. N. Petrov, “Numerical-analytic investigation of the dynamics of viscoelastic and porous elastic bodies”, Prikl. Mekh. Tekh. Fiz., 55:1 (2014), 108–114
Citation in format AMSBIB
\Bibitem{IguAmeBel14}
\by L.~A.~Igumnov, A.~V.~Amenitskii, A.~A.~Belov, S.~Yu.~Litvinchuk, A.~N.~Petrov
\paper Numerical-analytic investigation of the dynamics of viscoelastic and porous elastic bodies
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2014
\vol 55
\issue 1
\pages 108--114
\mathnet{http://mi.mathnet.ru/pmtf1106}
\elib{https://elibrary.ru/item.asp?id=21903147}
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  • https://www.mathnet.ru/eng/pmtf/v55/i1/p108
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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