 | | 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: | | 13554 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8194
|
| In English (Mech. Solids): | | 5360 |
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| << Previous article | Volume 60, Issue 7 / 2025 | Next article >> |
| D.V. Gandilyan and K.B. Ustinov, "On Elastic-Plastic Deformation of a Circular Plate under Normal Loading with Unloading," Mech. Solids. 60 (7), 6543-6553 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
7 |
Pages |
6543-6553 |
| DOI |
10.1134/S0025654425606585 |
| Title |
On Elastic-Plastic Deformation of a Circular Plate under Normal Loading with Unloading |
| Author(s) |
D.V. Gandilyan (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, david.ghandilyan@mail.ru)
K.B. Ustinov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, ustinov@ipmnet.ru) |
| Abstract |
This paper presents a solution to the problem of elastic-plastic deformation of a circular
plate under normal loading with unloading. The plate’s behavior is analyzed during the transition from
elastic to plastic deformations upon subsequent unloading. A Föppl – von Karman type plate model
was used for mathematical modeling, and the Tresca – Saint-Venant yield criterion was used as the
plasticity criterion. Rigid and generalized elastic embedment type conditions were considered as
boundary conditions. The results of numerical calculations allow predicting the deformation of the
plate material under various degrees of unloading. |
| Keywords |
boundary conditions of the generalized elastic embedment type, unloading, Föppl – von Karman model, Tresca – Saint-Venant yield criterion |
| Received |
10 November 2025 | Revised |
04 December 2025 | Accepted |
05 December 2025 |
| Link to Fulltext |
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