# Crack detection using electrostatic measurements

Martin Brühl; Martin Hanke; Michael Pidcock

- Volume: 35, Issue: 3, page 595-605
- ISSN: 0764-583X

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topBrühl, Martin, Hanke, Martin, and Pidcock, Michael. "Crack detection using electrostatic measurements." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 35.3 (2001): 595-605. <http://eudml.org/doc/194064>.

@article{Brühl2001,

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.},

author = {Brühl, Martin, Hanke, Martin, Pidcock, Michael},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {inverse boundary value problem; nondestructive testing; crack; crack detection; Neumann-Dirichlet operators; factorization; practical implementation; algorithm},

language = {eng},

number = {3},

pages = {595-605},

publisher = {EDP-Sciences},

title = {Crack detection using electrostatic measurements},

url = {http://eudml.org/doc/194064},

volume = {35},

year = {2001},

}

TY - JOUR

AU - Brühl, Martin

AU - Hanke, Martin

AU - Pidcock, Michael

TI - Crack detection using electrostatic measurements

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2001

PB - EDP-Sciences

VL - 35

IS - 3

SP - 595

EP - 605

AB - 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.

LA - eng

KW - inverse boundary value problem; nondestructive testing; crack; crack detection; Neumann-Dirichlet operators; factorization; practical implementation; algorithm

UR - http://eudml.org/doc/194064

ER -

## References

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