Variational Approach to Modeling of Curvilinear Thin Inclusions with Rough Boundaries in Elastic Bodies: Case of a Rod-Type Inclusion

Variational Approach to Modeling of Curvilinear Thin Inclusions with Rough Boundaries in Elastic Bodies: Case of a Rod-Type Inclusion Научная публикация

Журнал

Mathematics
ISSN: 2227-7390

Вых. Данные

Год: 2023, Том: 11, Номер: 16, Номер статьи : 3447, Страниц : 14 DOI: 10.3390/math11163447

Ключевые слова

ASYMPTOTIC ANALYSIS, INHOMOGENEOUS ELASTIC BODY, THIN INCLUSION, ROUGH BOUNDARY, INTERFACE CONDITION

Авторы

Rudoy Evgeny ¹ , Sazhenkov Sergey ¹

Организации

1	Lavrentyev Institute of Hydrodynamics

Информация о финансировании (1)

Министерство науки и высшего образования Российской Федерации

FWGG-2022-0001

In the framework of 2D-elasticity, an equilibrium problem for an inhomogeneous body with a curvilinear inclusion located strictly inside the body is considered. The elastic properties of the inclusion are assumed to depend on a small positive parameter δ characterizing its width and are assumed to be proportional to δ−1. Moreover, it is supposed that the inclusion has a curvilinear rough boundary. Relying on the variational formulation of the equilibrium problem, we perform the asymptotic analysis, as δ tends to zero. As a result, a variational model of an elastic body containing a thin curvilinear rod is constructed. Numerical calculations give a relative error between the initial and limit problems depending on δ.

Rudoy E. , Sazhenkov S.
Variational Approach to Modeling of Curvilinear Thin Inclusions with Rough Boundaries in Elastic Bodies: Case of a Rod-Type Inclusion
Mathematics. 2023. V.11. N16. 3447 :1-14. DOI: 10.3390/math11163447 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	6 июл. 2023 г.
Принята к публикации:	7 авг. 2023 г.
Опубликована в печати:	8 авг. 2023 г.

Web of science:	WOS:001056508200001
Scopus:	2-s2.0-85199330107
РИНЦ:	61500201
OpenAlex:	W4385650486

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