Characterization of surface-breaking cracks in metal sheets by using AC electric fields
- 9 January 1989
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 421 (1860) , 179-194
- https://doi.org/10.1098/rspa.1989.0008
Abstract
This article is closed access.A surface-breaking crack in a metal sheet may be detected by passing an alternating current through the sheet and making measurements of the potential difference on the sheet's surface. The distribution of potential on the metal surface depends on the exact geometry of the crack and the aim of this work is to predict the shape and size of a surface-breaking crack from the potential distribution. The theoretical model is formu- lated using the potential and streamfunction as the independent variables and the shape of the lower edge of the crack is determined from the solution of a Fredholm integral equation of the first kind. This is solved using a minimization technique which suppresses the instability of the equation. The method is tested using theoretical distributions of potential from known crack shapes and very good agreement is obtained in each caseKeywords
This publication has 5 references indexed in Scilit:
- Thin-Skin Electromagnetic Fields Around Surface-Breaking Cracks in MetalsPublished by Springer Nature ,1989
- Computational Methods for Integral EquationsPublished by Cambridge University Press (CUP) ,1985
- The measurement of surface cracks in metals by using a. c. electric fieldsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1982
- An Augmented Galerkin Method for First Kind Fredholm EquationsIMA Journal of Applied Mathematics, 1979
- The hodograph transformation in trans-sonic flow. I. Symmetrical channelsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1947