IDENTIFICATION OF CRACKS IN 3-DIMENSIONAL BODIES BY MANY BOUNDARY MEASUREMENTS

Authors
ELLER M
Citation
M. Eller, IDENTIFICATION OF CRACKS IN 3-DIMENSIONAL BODIES BY MANY BOUNDARY MEASUREMENTS, Inverse problems, 12(4), 1996, pp. 395-408
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
12
Issue
4
Year of publication
1996
Pages
395 - 408
Database
ISI
SICI code
0266-5611(1996)12:4<395:IOCI3B>2.0.ZU;2-F
Abstract
Let Omega be a three-dimensional body with an interior two-dimensional crack sigma. It will be shown that the location and size of the crack is uniquely determined by measurements on the boundary of Omega. More over, the physical behaviour of the crack will be identified. Our mode l is the following. Inside the body, with the exception of the crack, we assume a harmonic potential. A current flux will be implemented on partial derivative Omega and we measure the voltage potential there.