 | | 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: | | 13025 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8110
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| In English (Mech. Solids): | | 4915 |
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| M.D. Kovalenko, A.P. Kerzhaev, I.V. Menshova, and D.A. Vlasov, "A Half-Strip with a Clamped End. A Solution in Series in Papkovich–Fadle Functions," Mech. Solids. 59 (7), 3769-3780 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
7 |
Pages |
3769-3780 |
| DOI |
10.1134/S002565442460630X |
| Title |
A Half-Strip with a Clamped End. A Solution in Series in Papkovich–Fadle Functions |
| Author(s) |
M.D. Kovalenko (Institute of Applied Mechanics, Russian Academy of Sciences, Moscow, 125040 Russia, kov08@inbox.ru)
A.P. Kerzhaev (Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, 117997 Russia)
I.V. Menshova (Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, 117997 Russia; Bauman Moscow State Technical University, Moscow, 105005 Russia)
D.A. Vlasov (Moscow State University of Civil Engineering, Moscow, 129337 Russia) |
| Abstract |
An exact solution to the well-known boundary value problem of the theory of elasticity on
the tension of a free half-strip with a rigidly clamped end is obtained. It is represented by series in Papkovich–Fadle eigenfunctions, the coefficients of which are determined in an explicit form. A comparison of the exact solution and numerical one obtained on the basis of the finite element method is
given. Asymptotic formulas for the stresses at the corner points of the half-strip are derived. |
| Keywords |
end-clamped half-strip, Papkovich–Fadle eigenfunctions, Papkovich orthogonality relation, Lagrange expansions, exact solution |
| Received |
08 November 2024 | Revised |
11 November 2024 | Accepted |
12 November 2024 |
| Link to Fulltext |
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