Hauptmann, A;
Ikehata, M;
Itou, H;
Siltanen, S;
(2019)
Revealing cracks inside conductive bodies by electric surface measurements.
Inverse Problems
, 35
(2)
10.1088/1361-6420/aaf273.
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Abstract
An algorithm is introduced for using electrical surface measurements to detect and monitor cracks inside a two-dimensional conductive body. The technique is based on transforming the probing functions of the classical enclosure method by the Kelvin transform. The transform makes it possible to use virtual discs for probing the interior of the body using electric measurements performed on a flat surface. Theoretical results are presented to enable probing of the full domain to create a profile indicating cracks in the domain. Feasibility of the method is demonstrated with a simulated model of attaching metal sheets together by resistance spot welding.
| Type: | Article |
|---|---|
| Title: | Revealing cracks inside conductive bodies by electric surface measurements |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1361-6420/aaf273 |
| Publisher version: | https://doi.org/10.1088/1361-6420/aaf273 |
| Language: | English |
| Additional information: | © 2018 IOP Publishing Ltd. Open Access. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. |
| Keywords: | inverse crack problem, enclosure method, Kelvin transform, conductivity equation |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10066711 |
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