Revealing cracks inside conductive bodies by electric surface measurements

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Hauptmann , A , Ikehata , M , Itou , H & Siltanen , S 2019 , ' Revealing cracks inside conductive bodies by electric surface measurements ' , Inverse Problems , vol. 35 , no. 2 , 025004 , pp. 1-24 . https://doi.org/10.1088/1361-6420/aaf273

Title: Revealing cracks inside conductive bodies by electric surface measurements
Author: Hauptmann, Andreas; Ikehata, Masaru; Itou, Hiromichi; Siltanen, Samuli
Contributor: University of Helsinki, University of London
University of Helsinki, Mikko Samuli Siltanen / Principal Investigator
Date: 2019-02
Language: eng
Number of pages: 24
Belongs to series: Inverse Problems
ISSN: 0266-5611
URI: http://hdl.handle.net/10138/291872
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.
Subject: inverse crack problem
enclosure method
Kelvin transform
conductivity equation
3-DIMENSIONAL BODIES
NUMERICAL-METHOD
INVERSE PROBLEM
CONVEX-HULL
IMPEDANCE
IDENTIFICATION
111 Mathematics
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