We consider the problem of determining the location and the size of a linear crack in an electrically conducting two dimensional medium. The probing device consists of a single pair of electrodes through which current is passed. Certain integrals of the corresponding boundary voltage potential constitute our measured data. The computational algorithm is based on a variation of Newton's method. The algorithm iteratively updates the location of the electrodes to achieve maximal sensitivity. In addition to a detailed account of its derivation we present computational results for this algorithm.
All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering