 | | 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: | | 13025 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8110
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| In English (Mech. Solids): | | 4915 |
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| << Previous article | Volume 59, Issue 6 / 2024 | Next article >> |
| A.O. Vatulyan, "On Some Approaches to the Study of Coefficient Inverse Problems of Mechanics with Variable Characteristics," Mech. Solids. 59 (6), 3417-3448 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
6 |
Pages |
3417-3448 |
| DOI |
10.1134/S0025654424605767 |
| Title |
On Some Approaches to the Study of Coefficient Inverse Problems of Mechanics with Variable Characteristics |
| Author(s) |
A.O. Vatulyan (Southern Federal University, Rostov-on-Don, 344049 Russia, aovatulyan@sfedu.ru) |
| Abstract |
This paper covers some general aspects of studying coefficient inverse problems (CIP) for
various models of mechanics, with the main attention paid to the class when the unknowns are functions of one variable included in the description of the differential operator (ordinary or in partial
derivatives) characterizing the heterogeneity (functionally gradient materials, composites, biological
tissues). Various types of statements of such IPs are discussed, a generalized reciprocity relation for
various linear models of mechanics is formulated, weak and variational statements are given, some issues of constructing solutions are studied, iterative and effective computational schemes for solving
direct and inverse problems are proposed; solutions to a number of CIPs in various statements are constructed, and the results of computational experiments are presented. |
| Keywords |
coefficient inverse problem, functionally graded material, composite, biological tissue |
| Received |
29 June 2024 | Revised |
09 July 2024 | Accepted |
09 July 2024 |
| Link to Fulltext |
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| << Previous article | Volume 59, Issue 6 / 2024 | Next article >> |
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