Rigidity Parameter Identification for Thin Inclusions Located Inside Elastic Bodies

Alexander Khludnev ()
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Alexander Khludnev: Novosibirsk State University

Journal of Optimization Theory and Applications, 2017, vol. 172, issue 1, No 17, 297 pages

Abstract: Abstract The paper is concerned with an identification of a rigidity parameter for thin inclusions located inside elastic bodies. It is assumed that inclusions cross an external boundary of the elastic body. In addition to this, a delamination of the inclusions is assumed thus providing a crack between inclusions and the elastic body. To exclude a mutual penetration between crack faces, inequality-type boundary conditions are imposed. We consider elastic inclusions as well as rigid and rigid-elastic inclusions. To find a solution of the problem formulated, we solve an optimal control problem. A cost functional characterizes a displacement of the external part of the inclusion, and a rigidity parameter serves as a control function. We prove a solution existence of the problems formulated.

Keywords: Optimal control; Thin inclusion; Rigid inclusion; Elastic body; Crack; Non-penetration condition; 35J88; 49J20 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-016-1025-8

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