Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2020-5pp.679-689

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Total articles in the database: 4932
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D.V. Gandilyan and K.B. Ustinov, "Influence of Surface Effects in the Problems of the Theory of Elasticity for Domains Bounded by Non-Concentric Circles," Mech. Solids. 55 (5), 679-689 (2020)
Year 2020 Volume 55 Number 5 Pages 679-689
DOI 10.3103/S0025654420050064
Title Influence of Surface Effects in the Problems of the Theory of Elasticity for Domains Bounded by Non-Concentric Circles
Author(s) D.V. Gandilyan (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, david.ghandilyan@mail.ru)
K.B. Ustinov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, ustinov@ipmnet.ru)
Abstract The article deals with some problems of the theory of elasticity for domains bounded by non-concentric circles by taking into account surface effects such as surface elasticity and surface stresses. The solutions are obtained by expanding variables written in a bipolar coordinate system into Fourier series. The values of surface stresses and stress concentrations that are of our interest are obtained using recurrence relations. The contribution made by surface effects is considered.
Keywords surface elasticity, surface stress, bipolar coordinate system, Fourier series
Received 03 February 2020Revised 10 March 2020Accepted 20 April 2020
Link to Fulltext https://link.springer.com/article/10.3103/S0025654420050064
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