 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 57, Issue 3 / 2022 | Next article >> |
| M.I. Chebakov and E.M. Kolosova, "Contact Interaction of an Axisymmetric Punch and a Poroelastic Layer Fixed on an Elastic Base," Mech. Solids. 57 (3), 508-514 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
3 |
Pages |
508-514 |
| DOI |
10.3103/S0025654422030098 |
| Title |
Contact Interaction of an Axisymmetric Punch and a Poroelastic Layer Fixed on an Elastic Base |
| Author(s) |
M.I. Chebakov (Institute for Mathematics, Mechanics, and Computer Science in the name of I.I. Vorovich, Southern Federal University, Rostov-on-Don, 344006, Russia, michebakov@yandex.ru)
E.M. Kolosova (Institute for Mathematics, Mechanics, and Computer Science in the name of I.I. Vorovich, Southern Federal University, Rostov-on-Don, 344006, Russia, a_lena_ch@mail.ru) |
| Abstract |
Based on the equations of the Cowin-Nunziato poroelastic bodies theory, the article considers an axisymmetric contact problem on the interaction of a rigid stamp with a poroelastic layer fixed on an elastic half-space. It is assumed that the base of the stamp has a flat shape, there is no friction in the contact zone. With the help of the Hankel integral transformation, the problem posed is reduced to an integral equation for an unknown contact stress, which is solved using the collocation method. The values of contact stresses are found and the deformation of the surface outside the stamp is investigated. The relationship between the force acting on the stamp and its displacement, which is one of the main characteristics in determining the mechanical parameters of the material by the indentation method, has been studied. A comparative analysis of the studied quantities for various values of the parameters of the poroelastic layer and the elastic foundation has been carried out. Numerical results are presented in the form of graphs. |
| Keywords |
contact problem, poroelasticity, Cowin-Nunziato model, axisymmetric problem, collocation method, indentation |
| Received |
26 May 2021 | Revised |
07 July 2021 | Accepted |
08 July 2021 |
| Link to Fulltext |
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