Asymptotic modeling of steady vibrations of thin inclusions in a thermoelastic composite Full article
| Journal |
Zeitschrift fur Angewandte Mathematik und Physik
ISSN: 0044-2275 |
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| Output data | Year: 2023, Volume: 74, Article number : 195, Pages count : 19 DOI: 10.1007/s00033-023-02088-5 | ||||
| Tags | Linear thermoelasticity, Steady vibrations, Composite material, Thin inclusion, Asymptotic analysis, Effective characteristics | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0010 |
Abstract:
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The paper addresses the mathematical justification of a model describing steady vibrations for a planar thermoelastic body with an incorporated thin inclusion. The body is composed of three parts: two adherents and an adhesive layer between them, and we begin with a general mathematical formulation of a problem. By means of the modern methods of asymptotic analysis, we rigorously investigate the behavior of solutions as the thickness of the adhesive tends to zero. As a result, we construct the model that corresponds to the limit case. It turned out that the adhesive is reduced to the inclusion, which is thin (of zero thickness) and relatively hard (compared to the rigidity of the surrounding body). Furthermore, we supplement the obtained results with numerical experiments demonstrating the consistency of the theoretical conclusions
Cite:
Furtsev A.I.
, Fankina I.V.
, Rodionov A.A.
, Ponomarev D.A.
Asymptotic modeling of steady vibrations of thin inclusions in a thermoelastic composite
Zeitschrift fur Angewandte Mathematik und Physik. 2023. V.74. 195 :1-19. DOI: 10.1007/s00033-023-02088-5 WOS Scopus РИНЦ OpenAlex
Asymptotic modeling of steady vibrations of thin inclusions in a thermoelastic composite
Zeitschrift fur Angewandte Mathematik und Physik. 2023. V.74. 195 :1-19. DOI: 10.1007/s00033-023-02088-5 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jul 3, 2023 |
| Accepted: | Aug 8, 2023 |
| Published online: | Sep 15, 2023 |
Identifiers:
| Web of science: | WOS:001066773900003 |
| Scopus: | 2-s2.0-85171550852 |
| Elibrary: | 54772508 |
| OpenAlex: | W4386776930 |