Optimal Control of Lame Parameters in Elastic Body with Thin Delaminated Inclusion

Optimal Control of Lame Parameters in Elastic Body with Thin Delaminated Inclusion Full article

Journal

Journal of Optimization Theory and Applications
ISSN: 0022-3239

Output data

Year: 2026, Volume: 208, Article number : 106, Pages count : 13 DOI: 10.1007/s10957-026-02936-0

Tags

Elastic body, Thin inclusion, Crack, Variational inequality, Derivative of energy functional, Optimal control

Authors

Khludnev Alexander ¹

Affiliations

1	Lavrentyev Institute of Hydrodynamics RAS

The paper addresses the analysis of equilibrium problem for an elastic body with incorporated thin inclusion. The inclusion is assumed to be partially delaminated from the surrounding elastic body forming therefore a crack. We impose inequality type boundary conditions at the crack faces to prevent a mutual penetration. Assuming that the rigidity parameter is changing at the part of the inclusion we investigate a passage to the limit, and prove a solution existence of the limit problem describing an equilibrium of the elastic body with the inclusion consisting of elastic and rigid parts. For this limit model, an existence of a solution to optimal control problem with the cost functional describing the derivative of the energy functional with respect to the crack length is established. In this case, Lame parameters of the elastic body serve as control functions.

Khludnev A.
Optimal Control of Lame Parameters in Elastic Body with Thin Delaminated Inclusion
Journal of Optimization Theory and Applications. 2026. V.208. 106 :1-13. DOI: 10.1007/s10957-026-02936-0 WOS Scopus OpenAlex

Submitted:	May 30, 2025
Accepted:	Jan 12, 2026

≡ Web of science:	WOS:001694436200012
≡ Scopus:	2-s2.0-105030413023
≡ OpenAlex:	W7130356533