 | | 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
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| A.O. Vatul'yan and S.A. Nesterov, "Certain aspects of identification of the inhomogeneous prestressed state in thermoelastic bodies," J. Appl. Math. Mech. 81 (1), 71-76 (2017) |
| Year |
2017 |
Volume |
81 |
Issue |
1 |
Pages |
71-76 |
| DOI |
10.1016/j.jappmathmech.2017.07.008 |
| Title |
Certain aspects of identification of the inhomogeneous prestressed state in thermoelastic bodies |
| Author(s) |
A.O. Vatul'yan (Vorovich Institute of Mathematics, Mechanics and Computer Sciences of the Southern Federal University, Rostov-on-Don; Southern Mathematical Institute of the Vladikavkaz Scientific Centre of the Russian Academy of Sciences and the Government of the Republic Northern Ossetia-Alania, Vladikavkaz, Russia, vatulyan@math.rsu.ru)
S.A. Nesterov (Vorovich Institute of Mathematics, Mechanics and Computer Sciences of the Southern Federal University, Rostov-on-Don, 1079@list.ru) |
| Abstract |
The problem of identifying the inhomogeneous prestressed state in thermoelastic bodies is formulated. To solve this problem on the basis of a weak statement of the direct problem of thermoelasticity in Laplace transforms, operator equations have been obtained, relating the unknown and measured functions. By way of an example, an iterative procedure of identification of the initial state of a hollow cylinder is considered. Results are presented of numerical experiments on reconstruction of different types of functions. |
| Received |
18 August 2016 |
| Link to Fulltext |
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