 | | 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: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
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| In English (Mech. Solids): | | 5124 |
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| M.D. Kovalenko, A.P. Kerzhaev, I.V. Menshova, and D.A. Vlasov, "An Elastic Strip with a Transverse Stiffener: An Exact Solution," Mech. Solids. 60 (4), 3350-3366 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
3350-3366 |
| DOI |
10.1134/S0025654425602605 |
| Title |
An Elastic Strip with a Transverse Stiffener: An Exact Solution |
| 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 |
We construct an exact solution to the boundary value problem of the theory of elasticity for
a free infinite strip with a one-dimensional transverse stiffener whose length is equal to the strip width.
An external load acts along the stiffener. Only an even-symmetric deformation is considered. First, we solve the inhomogeneous problem for a free strip and then, on its basis, the problem for a strip with a
stiffener. The final solution is represented by series in Papkovich–Fadle eigenfunctions. This solution
is compared with the solution for an unbounded elastic plane with an infinite one-dimensional stiffener and with its numerical elastic simulation in ZSoil, a certified finite element software. |
| Keywords |
elastic strip, inhomogeneous problem, Papkovich–Fadle eigenfunctions, Papkovich orthogonality relation, Lagrange expansions, exact solution |
| Received |
22 May 2025 | Revised |
07 May 2025 | Accepted |
08 June 2025 |
| Link to Fulltext |
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