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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
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Abstract
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 |
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Additional Information: | This is the accepted author manuscript (AAM). The final published version (version of record) will be available online via Springer at http://www.springerlink.com/content/0044-2275/#AboutSection - 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 |
URI: | https://eprints.keele.ac.uk/id/eprint/4733 |