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On the identification of conductive cracks

Alves, Carlos J. S.; Ha Duong, Tuong; Penzel, Frank

Inverse Problems in Engineering Mechanics II (Editors: M. Tanaka and G. Dulikravich), Elsevier Publ. (2000), pp.213-218

We consider the problem of identification of a connected crack in a bounded domain. Conditions on the boundary data are presented such that the crack can be identified by the corresponding measurement. An admissible crack (or screen) is considered to be a part of a boundary of an open set with Lipschitz regularity.
We show that in the case of admissible connected shapes, a single measurement is enough to determine the position and the shape of a conductive crack, or an acoustic screen.