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Estimating area of inclusions in anisotropic plates from boundary data

MORASSI, Antonino
•
ROSSET E
•
VESSELLA S.
2013
  • journal article

Periodico
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S
Abstract
We consider the inverse problem of determining the possible presence of an inclusion in a thin plate by boundary measurements. The plate is made by non-homogeneous linearly elastic material belonging to a general class of anisotropy. The inclusion is made by 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.
DOI
10.3934/dcdss.2013.6.501
WOS
WOS:000331201400014
Archivio
http://hdl.handle.net/11390/872305
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84874166542
Diritti
closed access
Soggetti
  • Inverse problem

  • Plate

  • Inclusions

Scopus© citazioni
4
Data di acquisizione
Jun 7, 2022
Vedi dettagli
Web of Science© citazioni
6
Data di acquisizione
Mar 11, 2024
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