 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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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 2020 | Revised |
25 July 2020 | Accepted |
15 August 2020 |
| Link to Fulltext |
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