 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12882 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8071
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| In English (Mech. Solids): | | 4811 |
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| A.A. Belov, L.A. Igumnov, S.Yu. Litvinchuk, and V.S. Metrikin, "Application of Boundary Integral Equations for Analyzing the Dynamics of Elastic, Viscoelastic, and Poroelastic Bodies," Mech. Solids. 51 (6), 677-683 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
6 |
Pages |
677-683 |
| DOI |
10.3103/S0025654416060078 |
| Title |
Application of Boundary Integral Equations for Analyzing the Dynamics of Elastic, Viscoelastic, and Poroelastic Bodies |
| Author(s) |
A.A. Belov (Institute of Mechanics, Lobachevsky Nizhnii Novgorod State University, pr. Gagarina 23-6, GSP-1000, Nizhnii Novgorod, 603950 Russia)
L.A. Igumnov (Institute of Mechanics, Lobachevsky Nizhnii Novgorod State University, pr. Gagarina 23-6, GSP-1000, Nizhnii Novgorod, 603950 Russia)
S.Yu. Litvinchuk (Institute of Mechanics, Lobachevsky Nizhnii Novgorod State University, pr. Gagarina 23-6, GSP-1000, Nizhnii Novgorod, 603950 Russia, litvinchuk@mech.unn.ru)
V.S. Metrikin (Institute of Mechanics, Lobachevsky Nizhnii Novgorod State University, pr. Gagarina 23-6, GSP-1000, Nizhnii Novgorod, 603950 Russia) |
| Abstract |
Two approaches (classical and nonclassical) of the boundary integral equation method for solving three-dimensional dynamical boundary value problems of elasticity, viscoelasticity, and poroelasticity are considered. The boundary integral equation model is used for porous materials. The Kelvin-Voigt model and the weakly singular hereditary Abel kernel are used to describe the viscoelastic properties. Both approaches permit solving the dynamic problems exactly not only in the isotropic but also in the anisotropic case. The boundary integral equation solution scheme is constructed on the basis of the boundary element technique. The numerical results obtained by the classical and nonclassical approaches are compared. |
| Keywords |
three-dimensional problem, boundary integral equation method, anisotropy, viscoelasticity, poroelasticity |
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|
| Received |
23 May 2016 |
| Link to Fulltext |
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