Rigidity Parameter Identification for Thin Inclusions Located Inside Elastic Bodies

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11 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)281-297
Number of pages17
JournalJournal of Optimization Theory and Applications
Volume172
Issue number1
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • Crack
  • Elastic body
  • Non-penetration condition
  • Optimal control
  • Rigid inclusion
  • Thin inclusion

OECD FOS+WOS

  • 5.02.PE OPERATIONS RESEARCH & MANAGEMENT SCIENCE
  • 1.01.PN MATHEMATICS, APPLIED
  • 2.11.IF ENGINEERING, MULTIDISCIPLINARY

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