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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 2, Pages 37–44
DOI: https://doi.org/10.55959/MSU0579-9368-1-65-2-5 (Mi vmumm4597) 		 
Mechanics

Unsteady wave processes in a cylinder made of a functionally graded viscoelastic material

S. G. Pshenichnov

Lomonosov Moscow State University, Institute of Mechanics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-65-2-5
Abstract: The problem of propagation of unsteady waves in the cross section of an infinite hollow cylinder made of a viscoelastic functionally graded material with non-monotonically varying properties along the radius is considered. The cylinder is replaced by a piecewise homogeneous one with a large number of coaxial homogeneous layers approximating the properties of the source material. Based on the previously constructed solution for a layered cylinder, wave processes in a cylinder made of a viscoelastic functionally graded material with different types of non-monotonic inhomogeneities are studied.
Key words: functionally graded materials, wave processes, viscoelasticity, dynamics of layered bodies, inhomogeneous cylinder.
Funding agency Grant number
Russian Science Foundation 23-29-00389
The work is supported by the Russian Science Foundation, project no. 23-29-00389, https://rscf.ru/en/project/23-29-00389/).
Received: 30.08.2023
English version:
Moscow University Mеchanics Bulletin, 2024, Volume 79, Issue 2, Pages 29–37
DOI: https://doi.org/10.3103/S0027133024700055
Bibliographic databases:
Document Type: Article
UDC: 539.551, 534.5, 534-16
Language: Russian
Citation: S. G. Pshenichnov, “Unsteady wave processes in a cylinder made of a functionally graded viscoelastic material”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 2, 37–44; Moscow University Mеchanics Bulletin, 79:2 (2024), 29–37
Citation in format AMSBIB
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\by S.~G.~Pshenichnov
\paper Unsteady wave processes in a cylinder made of a functionally graded viscoelastic material
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 2
\pages 37--44
\mathnet{http://mi.mathnet.ru/vmumm4597}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-65-2-5}
\elib{https://elibrary.ru/item.asp?id=65597372}
\transl
\jour Moscow University Mеchanics Bulletin
\yr 2024
\vol 79
\issue 2
\pages 29--37
\crossref{https://doi.org/10.3103/S0027133024700055}
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    Full-text PDF :66
    References:21
     
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