We consider a thin elastic plate subjected to a couple field applied at its boundary and we study the inverse problem consisting in determining an unknown cavity inside the plate by measuring the transversal displacement and its normal derivative at the boundary of the plate. We prove uniqueness with two measurements.
Unique determination of a cavity in an elastic plate by two boundary measurements / A. Morassi; E. Rosset; S. Vessella. - In: INVERSE PROBLEMS AND IMAGING. - ISSN 1930-8337. - STAMPA. - 1:(2007), pp. 481-506. [10.3934/ipi.2007.1.481]
Unique determination of a cavity in an elastic plate by two boundary measurements.
VESSELLA, SERGIO
2007
Abstract
We consider a thin elastic plate subjected to a couple field applied at its boundary and we study the inverse problem consisting in determining an unknown cavity inside the plate by measuring the transversal displacement and its normal derivative at the boundary of the plate. We prove uniqueness with two measurements.
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