 | | 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 79, Issue 5 / 2015 | Next article >> |
| A.M. Khludnev, "Optimal control of a thin rigid inclusion intersecting the boundary of an elastic body," J. Appl. Math. Mech. 79 (5), 493-499 (2015) |
| Year |
2015 |
Volume |
79 |
Issue |
5 |
Pages |
493-499 |
| DOI |
10.1016/j.jappmathmech.2016.03.010 |
| Title |
Optimal control of a thin rigid inclusion intersecting the boundary of an elastic body |
| Author(s) |
A.M. Khludnev (M.A. Lavrent'ev Institute of Hydrodynamics, Siberian Branch of the Russian Academic of Sciences, Novosibirsk State University, Novosibirsk, Russia, khlud@hydro.nsc.ru) |
| Abstract |
The problem of the optimal control of a long thin rigid inclusion in an elastic body intersecting the external boundary is investigated. It is assumed that the inclusion delaminates, forming a crack between it and the body. Non-linear boundary conditions are specified on the edge of the crack that exclude the mutual penetration of the opposite edges. The solvability of the optimal control problem, in which the performance functional characterizes the displacement of the points of the rigid inclusion and the length of the inclusion located within the elastic body serves as the control function, is proved. |
| Received |
20 January 2015 |
| Link to Fulltext |
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