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Size estimates for inclusions in an elastic plate by boundary measurements

A. MORASSI
•
ROSSET, EDI
•
S. VESSELLA
2007
  • journal article

Periodico
INDIANA UNIVERSITY MATHEMATICS JOURNAL
Abstract
We consider the problem of determining, within an elastic isotropic thin plate, the possible presence of an inclusion made of a different elastic material. Under some a priori assumptions on the unknown inclusion, we prove constructive upper and lower estimates of the area of the unknown defect in terms of an easily expressed quantity related to work, which is given in terms of measurements of a couple field applied at the boundary and of the induced transversal displacement and its normal derivative taken at the boundary of the plate.
WOS
WOS:000250675100011
Archivio
http://hdl.handle.net/11368/1700122
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-39049096073
Diritti
metadata only access
Soggetti
  • inverse problem

  • elastic plate

  • three spheres inequal...

  • size estimate

  • unique continuation

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