 | | 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
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| In English (Mech. Solids): | | 5360 |
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| << Previous article | Volume 60, Issue 7 / 2025 | Next article >> |
| A.O. Vatulyan and I.S. Kozachenko, "On Deformation of a Poroelastic Plate with Variable Properties," Mech. Solids. 60 (7), 5535-5544 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
7 |
Pages |
5535-5544 |
| DOI |
10.1134/S0025654425604392 |
| Title |
On Deformation of a Poroelastic Plate with Variable Properties |
| Author(s) |
A.O. Vatulyan (Institute of Mathematics, Mechanics and Computer Sciences named after I.I. Vorovich, Southern Federal University, Rostov-on-Don, 344090 Russia;Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russia Academy of Sciences, Vladikavkaz, 362025 Russia, aovatulyan@sfedu.ru)
I.S. Kozachenko (Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russia Academy of Sciences, Vladikavkaz, 362025 Russia, ikozachenko@sfedu.ru) |
| Abstract |
This article examines the deformation of a circular, isotropic, poroelastic plate with fluid-filled pores and elastic bonds at the edge. The simulation is based on a Timoshenko-type model using
Biot’s constitutive relations. The effect of plate porosity on its deflection and rotation angle under a
constant load is analyzed. The application of the studied model to the investigation of the deformation
of the lamina cribrosa of the eye is presented. A potential energy functional is constructed for the plates
using the Lagrange variational principle. An approximate numerical solution for minimizing the functional is constructed using the Ritz method. The influence of the number of coordinate functions on
the solution accuracy is analyzed. Graphs of the deflection and rotation angle are plotted for parameters corresponding to a healthy eye and for various stages of primary open-angle glaucoma (POAG).
Inflection points of the deflection function are found for various cases. |
| Keywords |
poroelastic plate, Biot model, Deformation of a plate with variable stiffness, Lagrange’s variational principle, Ritz method, Applications of eye Biomechanics |
| Received |
14 August 2025 | Revised |
27 August 2025 | Accepted |
28 August 2025 |
| Link to Fulltext |
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