Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2019-4pp.514-522

Archive of Issues

Total articles in the database: 9179
In Russian (. . ): 6485
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V.A. Gorodtsov, D.S. Lisovenko, and K.B. Ustinov, "Spherical Inclusion in an Elastic Matrix in the Presence of Eigenstrain, Taking Into Account the Influence of the Properties of the Interface, Considered as the Limit of a Layer of Finite Thickness," Mech. Solids. 54 (4), 514-522 (2019)
Year 2019 Volume 54 Number 4 Pages 514-522
DOI 10.3103/S0025654419040034
Title Spherical Inclusion in an Elastic Matrix in the Presence of Eigenstrain, Taking Into Account the Influence of the Properties of the Interface, Considered as the Limit of a Layer of Finite Thickness
Author(s) V.A. Gorodtsov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia)
D.S. Lisovenko (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia)
K.B. Ustinov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, ustinoff127@mail.ru)
Abstract Previously, the authors proposed a model of surface elasticity, in which the internal boundary was considered as a thin structured layer endowed with its own elasticity. The transition to the limit of an infinitely thin boundary was carried out in two stages. For a structured boundary of an interface, the governing equations of surface elasticity are formulated, generalizing the well-known Shuttleworth equations. In the present work, such a model is supplemented by boundary conditions on the interface and with its help the problem of spherically symmetric deformation of an infinite body with a spherical inclusion is considered.
Keywords strain, strength, stress
Received 07 May 2018
Link to Fulltext https://link.springer.com/article/10.3103/S0025654419040034
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