 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 56, Issue 7 / 2021 | Next article >> |
| A.O. Vatulyan and S.A. Nesterov, "On Determination of the Thermomechanical Characteristics of a Functionally Graded Finite Cylinder," Mech. Solids. 56 (7), 1429-1438 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
7 |
Pages |
1429-1438 |
| DOI |
10.3103/S0025654421070256 |
| Title |
On Determination of the Thermomechanical Characteristics of a Functionally Graded Finite Cylinder |
| Author(s) |
A.O. Vatulyan (South Federal University, Rostov-on-Don, 344006 Russia; South Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy Sciences, Vladikavkaz, 362027 Russia, aovatulyan@sfedu.ru)
S.A. Nesterov (South Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy Sciences, Vladikavkaz, 362027 Russia, 1079@list.ru) |
| Abstract |
In this paper, we formulate an inverse problem of identifying the thermomechanical characteristics of a finite functionally graded cylinder by additional information measured on the outer cylinder surface on a finite time interval. Thermoelastic characteristics are considered to be variable along
the radial coordinate. The cylinder ends are thermally insulated and are under sliding termination conditions. The direct problem after applying the Laplace transform is solved based on the variable separation method and the shooting method. The numerical solution of the inverse problem is constructed
using an iterative process, at each stage of which the Fredholm integral equation of the first-kind is solved. |
| Keywords |
inverse thermoelasticity problem, integral equation, functionally graded materials, finite cylinder, identification, shooting method |
| Received |
24 December 2020 | Revised |
20 January 2021 | Accepted |
02 February 2021 |
| Link to Fulltext |
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