Rogerson, GA and 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. ISSN 0044-2275 (In Press)

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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
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 Maths
Depositing User: Symplectic
Date Deposited: 09 Apr 2018 14:56
Last Modified: 10 Apr 2018 08:14
URI: http://eprints.keele.ac.uk/id/eprint/4733

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