Abstract: The paper addresses analysis of equilibrium state of an elastic body with a thin nonhomogeneous inclusion in a noncoercive case. We assume that a part of the inclusion is located outside the elastic body, and the traction free boundary condition at the external boundary of the elastic body does not provide a coercivity of the problem. The inclusion is delaminated from the surrounding elastic material that implies a presence of the interfacial crack. Constraint boundary conditions at the crack faces describe a mutual nonpenetration and have an inequality type form. We prove a solution existence of the equilibrium problem, analyze a passage to the limit as the rigidity parameter of the inclusion tends to zero, and prove a solution existence of an inverse problem. The inverse problem assumes that along with the displacement field we have to find an elasticity coefficient for the inclusion provided that an additional information is given which can be found from a measurement.

Cite: Khludnev A.M. , Rodionov A.A.
Elastic body with thin nonhomogeneous inclusion in non-coercive case
Mathematics and Mechanics of Solids. 2023. V.28. N10. P.2141-2154. DOI: 10.1177/10812865231151253 WOS Scopus РИНЦ OpenAlex

Dates:

Submitted:	Sep 21, 2022
Accepted:	Dec 31, 2022

Identifiers:

Web of science:	WOS:000926294100001
Scopus:	2-s2.0-85147595970
Elibrary:	54618495
OpenAlex:	W4319321068

Citing:

DB	Citing
Elibrary	3
OpenAlex	20
Scopus	2
Web of science	5

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