Реферат: The two-dimensional dynamical problem of linear elasticity for an inhomogeneous body with a narrow inclusion lying strictly inside the body is studied. The formulation of the problem incorporates a small positive parameter δ, which characterizes the width of the inclusion and, at the same time, the contrast between the material properties of the inclusion and the surrounding elastic matrix. Moreover, the inclusion is assumed to have a curvilinear rough boundary. Relying on the variational formulation of the problem, we perform an asymptotic analysis, as δ tends to zero. As a result, depending on the specific ratio between the elastic modules of the narrow inclusion and the surrounding matrix, we construct two variational models of dynamics of an elastic body containing a heavy (massive) thin filament: if the ratio is of order δ-1, then the limit case is the case of an elastic filament, and if the ratio is of order δp with p ∈ (-1,1), then the limit case is the case of an inertial flexible curvilinear inclusion.

Библиографическая ссылка: Rudoy E. , Sazhenkov S.
Asymptotic Modeling of Dynamics of Elastic Bodies with Incorporated Heavy Curvilinear Thin Filaments
Research Square. 2026. DOI: 10.21203/rs.3.rs-10919787/v1 OpenAlex

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Опубликована online:

14 сент. 2026 г.

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≡ OpenAlex:

W7212555711

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