Реферат: We analyze an equilibrium state of a three-dimensional elastic body with a thin two-dimensional inclusion. At the first step we assume the inclusion to be delaminated from the surrounding elastic body, which provides an interfacial crack. To describe a mutual nonpenetration between the crack faces, we impose inequality type boundary conditions at the crack faces. Additional difficulties appear in view of the Neumann type conditions considered at the external boundary of the elastic body. We analyze a passage to the limit provided that the stiffness parameter of the inclusion tends to infinity. The limit model is analyzed, which describes an equilibrium state of the elastic body with a thin rigid inclusion. Various equivalent problem formulations of the limit problem are presented.

Библиографическая ссылка: Khludnev A.M.
On a 3D elastic body with a thin rigid inclusion
Математические заметки СВФУ / Mathematical Notes of NEFU. 2026. V.33. N2. P.117-127. DOI: 10.25587/2411-9326-2026-2-117-127 OpenAlex

Идентификаторы БД:

≡ OpenAlex:

W7164177155

Альметрики: