Rogerson, GA, Lazarev, NP and Popova, TS (2018) Optimal control of the radius of a rigid circular inclusion in inhomogeneous two-dimensional bodies with cracks. Zeitschrift fur angewandte Mathematik und Physik, 69 (53). ISSN 0044-2275

[thumbnail of Zamp-L-P-R-2018-2.pdf]
Zamp-L-P-R-2018-2.pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial.

Download (109kB) | Preview


A two-dimensional model describing the equilibrium state of a cracked inhomogeneous body with a rigid circular inclusion is investigated. The body is assumed to have a crack that reaches the boundary of the rigid inclusion. We assume that the Signorini condition, ensuring non-penetration of the crack faces, is satisfied. We analyze the dependence of solutions on the radius of rigid
inclusion. The existence of a solution of the optimal control problem is proven. For this problem, a cost functional is defined by an arbitrary continuous functional, with the radius of inclusion chosen as the control parameter.

Item Type: Article
Additional Information: This is the accepted author manuscript (AAM). The final published version (version of record) will be available online via Springer at - please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: variational inequality, optimal control problem, nonpenetration, non-linear boundary conditions, crack, rigid inclusion
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 09 Apr 2018 14:56
Last Modified: 11 Apr 2019 01:30

Actions (login required)

View Item
View Item