 | | 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: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3251 |
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| V.A. Babeshko, O.V. Evdokimova, and O.M. Babeshko, "On a Method for Solving Boundary Value Problems of the Dynamical Theory of Elasticity in a Quarter Plane," Mech. Solids. 56 (7), 1373-1378 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
7 |
Pages |
1373-1378 |
| DOI |
10.3103/S0025654421070037 |
| Title |
On a Method for Solving Boundary Value Problems of the Dynamical Theory of Elasticity in a Quarter Plane |
| Author(s) |
V.A. Babeshko (Southern Scientific Center, Russian Academy of Sciences, Rostov-on-Don, 344006 Russia, babeshko41@mail.ru)
O.V. Evdokimova (Southern Scientific Center, Russian Academy of Sciences, Rostov-on-Don, 344006 Russia, evdokimova.olga@mail.ru)
O.M. Babeshko (Kuban State University, Krasnodar, 350040 Russia, babeshko49@mail.ru) |
| Abstract |
In the paper, using the coordinate block element method, an exact solution in the first
quadrant of a plane boundary value problem of the second kind for the dynamic Lamé elasticity equations is constructed for the first time and is expanded in terms of solutions of boundary value problems
for the Helmholtz equation. In the earlier paper of the authors, the solution was constructed by an
integro-differential method. Exact solutions of vector boundary value problems using scalar ones in
nonclassical domains make it possible to simplify the solutions of boundary value problems in media
of complex rheology and to get information on some processes and phenomena in mechanics and
physics that was previously overlooked when other approaches were used. |
| Keywords |
boundary value problems, block element method, packed block elements, Lamé equations, Helmholtz equations |
| Received |
05 June 2020 | Accepted |
23 October 2020 |
| Link to Fulltext |
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