Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 4, Pages 48–54 (Mi vmumm167)  
This article is cited in 4 scientific papers (total in 4 papers)

Mechanics

Nonstationary axisymmetric deformation of an elastic medium with a spherical cavity under the action of volume forces

V. A. Vestyaka, D. V. Tarlakovskiib

a Moscow Aviation Institute
b Lomonosov Moscow State University, Institute of Mechanics
Full-text PDF (404 kB) Citations (4)
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Abstract: A homogeneous elastic isotropic space with a spherical cavity is considered. Unsteady asymmetric volume forces are exerted on this space. Disturbances are absent at the boundary of the cavity. Series expansions in Legendre polynomials and their derivatives as well as the Laplace time transform are used. The solution is represented in an integral form with kernels in the form of Green's functions. The structure of these kernels is determined and their originals are found. Numerical results are discussed.
Key words: elastic space, spherical cavity, Legendre polynomials, Laplace transform, Green's functions.
Funding agency Grant number
Russian Science Foundation 14-49-00091
Received: 18.06.2015
English version:
Moscow University Mechanics Bulletin, 2016, Volume 71, Issue 4, Pages 87–92
DOI: https://doi.org/10.3103/S0027133016040038
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. A. Vestyak, D. V. Tarlakovskii, “Nonstationary axisymmetric deformation of an elastic medium with a spherical cavity under the action of volume forces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 4, 48–54; Moscow University Mechanics Bulletin, 71:4 (2016), 87–92
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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