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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
References
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Received 23 May 2016
Link to Fulltext http://link.springer.com/article/10.3103/S0025654416060078
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