 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5249 |
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| << Previous article | Volume 60, Issue 6 / 2025 | Next article >> |
| K.B. Ustinov and D.V. Gandilyan, "On the Elastic-plastic Deformation of a Circular Plate Under Centrally Symmetric Normal Loading," Mech. Solids. 60 (6), 4485-4501 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4485-4501 |
| DOI |
10.1134/S0025654425603763 |
| Title |
On the Elastic-plastic Deformation of a Circular Plate Under Centrally Symmetric Normal Loading |
| Author(s) |
K.B. Ustinov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, ustinov@ipmnet.ru)
D.V. Gandilyan (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, david.ghandilyan@mail.ru) |
| Abstract |
In the approximation of the Föppl–von Kármán model, which takes into account the presence of plastic deformations, the solution of the problem of elastoplastic bending of a thin plate was
obtained, under the boundary conditions of the type of rigid, or generalized elastic embedment type.
The model of ideal plasticity with the Tresca–St-Venant yield surface was used. The use of the standard Kirchhoff–Love hypotheses allowed to reduce the problem to a system of ordinary differential
equations. The numerical solution of this system for the boundary conditions of the generalized elastic
embedment was obtained. The solution for the boundary conditions of rigid clamping is obtained as a particular case. |
| Keywords |
boundary conditions of the generalized elastic embedment type, kinematic hypotheses of Kirchhoff-Love, longitudinal bending |
| Received |
10 July 2025 | Revised |
20 July 2025 | Accepted |
21 July 2025 |
| Link to Fulltext |
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