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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024 Number 2, Pages 37–44 (Mi vmumm4597)

This article is cited in 3 papers

Mechanics

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

S. G. Pshenichnov

Lomonosov Moscow State University, Institute of Mechanics

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.

UDC: 539.551, 534.5, 534-16

Received: 30.08.2023

DOI: 10.55959/MSU0579-9368-1-65-2-5


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2024, 79:2, 29–37

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© Steklov Math. Inst. of RAS, 2026