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Crack detection using electrostatic measurements

Published online by Cambridge University Press:  15 April 2002

Martin Brühl ,
Martin Hanke  and
Michael Pidcock
Martin Brühl
Affiliation:
Fachbereich Mathematik, Johannes Gutenberg-Universität, 55099 Mainz, Germany. (bruehl@math.uni-mainz.de); (hanke@math.uni-mainz.de)
Martin Hanke
Affiliation:
Fachbereich Mathematik, Johannes Gutenberg-Universität, 55099 Mainz, Germany. (bruehl@math.uni-mainz.de); (hanke@math.uni-mainz.de)
Michael Pidcock
Affiliation:
School of Computing and Mathematical Sciences, Oxford Brookes University, Oxford OX3 0BP, Great Britain. (mkpidcock@brookes.ac.uk)
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Abstract

In this paper we extend recent work on the detection of inclusions using electrostatic measurements to the problem of crack detection in a two-dimensional object. As in the inclusion case our method is based on a factorization of the difference between two Neumann-Dirichlet operators. The factorization possible in the case of cracks is much simpler than that for inclusions and the analysis is greatly simplified. However, the directional information carried by the crack makes the practical implementation of our algorithm more computationally demanding.

Keywords

Inverse boundary value problemnondestructive testingcrack.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 3 , May 2001 , pp. 595 - 605
Copyright
© EDP Sciences, SMAI, 2001

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References

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