 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 76, Issue 3 / 2012 | Next article >> |
| V.G. Popov, "A dynamic contact problem which reduces to a singular integral equation with two fixed singularities," J. Appl. Math. Mech. 76 (3), 348-357 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
3 |
Pages |
348-357 |
| Title |
A dynamic contact problem which reduces to a singular integral equation with two fixed singularities |
| Author(s) |
V.G. Popov (Odessa, Ukraine, dr.vg.popov@gmail.com) |
| Abstract |
The problem of the harmonic sheat oscillations of an elastic strip, coupled to an elastic half-space is considered. Using the method of integral transformations, the problem is reduced to a singular integral equation in the contact stresses in the region where the strip and the half-space are coupled when there are two fixed singularities at points bounding the integration intervals. One of the main results of this paper is the method of solving this equation numerically, taking into account the true singularity of the solution and based on the use of special quadrature formulae for singular integrals. The approximate solution obtained provides the possibility of numerically investigating the effect of the oscillation frequency and the ratio of the elastic constants of the strip and the half-space on the stress distribution in the contact area. |
| Received |
16 July 2011 |
| Link to Fulltext |
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