Optimal Control of the Location of a Thin Rigid Inclusion in the Equilibrium Problem of an Inhomogeneous Two-Dimensional Body with a Crack
- Authors: Lazarev N.P.1, Semenova G.M.1
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Affiliations:
- North-Eastern Federal University
- Issue: Vol 13, No 1 (2019)
- Pages: 76-84
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213146
- DOI: https://doi.org/10.1134/S1990478919010095
- ID: 213146
Cite item
Abstract
Under study is some two-dimensional model describing equilibriumof a composite solid with a thin rigid inclusion and a crack. A boundary condition of Signorini’s type is prescribed on the crack curve. For a family of corresponding variational problems, the dependence is analyzed of their solutions on the parameter characterizing the location of the rigid inclusion. The existence of solution of the optimal control problem is proved. For this problem, the quality functional is defined with the help of an arbitrary continuous functional on the solution space, while the location of the inclusion is chosen as the control parameter.
About the authors
N. P. Lazarev
North-Eastern Federal University
Author for correspondence.
Email: nyurgun@ngs.ru
Russian Federation, ul. Kulakovskogo 48, Yakutsk, 677000
G. M. Semenova
North-Eastern Federal University
Author for correspondence.
Email: gm.semenova@s-vfu.ru
Russian Federation, ul. Kulakovskogo 48, Yakutsk, 677000