 | | 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: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| K.B. Ustinov, "On Accounting for Surface Effects in Bending of Ultrathin Plates," Mech. Solids. 60 (2), 940-957 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
940-957 |
| DOI |
10.1134/S0025654424606189 |
| Title |
On Accounting for Surface Effects in Bending of Ultrathin Plates |
| Author(s) |
K.B. Ustinov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, ustinov@ipmnet.ru) |
| Abstract |
The equations for axisymmetric bending of a circular plate of the Föppl-von Kármán type
that account for surface effects, namely, the presence of a surface layer characterized by its elastic constants and initial stresses, as well as the presence of initial volumetric stresses, are given. An asymptotic
solution for large deflections of the problem of a circular uniformly loaded rigidly clamped plate is
obtained under the assumption of constant tensile forces. An assessment of the plate parameters at
which surface effects become significant has been made. |
| Keywords |
Föppl-von Karman plate, surface elasticity, large deflections, eigenstrains |
| Received |
05 November 2024 | Revised |
10 November 2024 | Accepted |
11 November 2024 |
| Link to Fulltext |
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