 | | 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
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| In English (Mech. Solids): | | 4760 |
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| A.O. Vatulyan and D.K. Plotnikov, "On a Study of the Contact Problem for an Inhomogeneous Elastic Strip," Mech. Solids. 56 (7), 1379-1387 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
7 |
Pages |
1379-1387 |
| DOI |
10.3103/S0025654421070268 |
| Title |
On a Study of the Contact Problem for an Inhomogeneous Elastic Strip |
| Author(s) |
A.O. Vatulyan (Shern Federal University, Rostov-on-Don, 344006 Russia; Southern Mathematical Institute, Branch of Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, 362027 Russia, vatulyan@aaanet.ru)
D.K. Plotnikov (Shern Federal University, Rostov-on-Don, 344006 Russia; Southern Mathematical Institute, Branch of Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, 362027 Russia, dustheap@mail.ru) |
| Abstract |
In this paper, we study the contact problem for an inhomogeneous elastic strip and a stamp
with a smooth base in a flat formulation. A system of differential equations with variable coefficients
for the transformants of the components of the displacement vector and the stress tensor is constructed
using the Fourier transform. The kernel symbol of the integral equation is constructed using the shooting method. An asymptotic analysis of the kernel symbol is performed at small and large values of the
transformation parameter. A computational scheme based on the boundary element method for constructing a solution to the integral equation of a contact problem with an unknown contact area is presented. The results of solving the contact problem for various inhomogeneity laws are presented. |
| Keywords |
contact problem, inhomogeneous strip, asymptotic analysis, boundary element method |
| Received |
02 February 2021 | Revised |
18 March 2021 | Accepted |
25 March 2021 |
| Link to Fulltext |
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