Mechanics of Solids (about journal) Mechanics of Solids
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IssuesArchive of Issues2020-6pp.784-790

Archive of Issues

Total articles in the database: 4918
In Russian (. . ): 2350
In English (Mech. Solids): 2568

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Kovalenko M.D., Menshova I.V., Kerzhaev A.P., and Yu G., "Inhomogeneous Problem of the Theory of Elasticity in a Half-Strip. Exact Solution," Mech. Solids. 55 (6), 784-790 (2020)
Year 2020 Volume 55 Number 6 Pages 784-790
DOI 10.3103/S0025654420060096
Title Inhomogeneous Problem of the Theory of Elasticity in a Half-Strip. Exact Solution
Author(s) Kovalenko M.D. (Institute of Earthquake Prediction Theory and Mathematical Geophysics of RAS, Moscow, 117997 Russia; Institute of Applied Mechanics of Russian Academy of Sciences, Moscow, 125040 Russia, kov08@inbox.ru)
Menshova I.V. (Institute of Earthquake Prediction Theory and Mathematical Geophysics of RAS, Moscow, 117997 Russia; Bauman Moscow State Technical University, Moscow, 105005 Russia, menshovairina@yandex.ru)
Kerzhaev A.P. (Institute of Earthquake Prediction Theory and Mathematical Geophysics of RAS, Moscow, 117997 Russia, alex_kerg@mail.ru)
Yu G. (School of Civil Engineering, Qingdao University of Technology, Qingdao, China; Cooperative Innovation Center of Engineering Construction and Safety in Shandong Blue Economic Zone, Qingdao University of Technology, Qingdao, China, yu-guangming@263.net)
Abstract In the paper, in the form of series in the Papkovich-Fadle eigenfunctions, exact solutions of two inhomogeneous boundary value problems of elasticity theory for a half-strip with free long sides are constructed: (1) the half-strip end is free, (2) the half-strip end is rigidly clamped. To solve the inhomogeneous problem in a free strip, the Papkovich orthogonality relation is used. The exact solution for the half-strip is then added to it.
Keywords half-strip, inhomogeneous boundary value problem, Papkovich-Fadle eigenfunctions, Papkovich orthogonality relation, exact solution
Received 10 July 2020Revised 25 July 2020Accepted 15 August 2020
Link to Fulltext https://link.springer.com/article/10.3103/S0025654420060096
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