A computational algorithm to determine cracks from electrostatic boundary measurements

Fadil Santosa, Michael Vogelius

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)917-937
Number of pages21
JournalInternational Journal of Engineering Science
Volume29
Issue number8
DOIs
Publication statusPublished - 1991

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All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Engineering(all)
  • Mechanics of Materials
  • Mechanical Engineering

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