A Computational Algorithm for Crack Determination, the Multiple Crack Case

Abstract

This paper develops an algorithm for recovering a collection a linear cracks in a homogeneous electrical conductor from boundary measurements of voltages induced by specified current fluxes. The technique is a variation of Newton's method and is-based on taking weighted averages of the boundary data. The method also adaptively changes the applied current flux at each iteration to maintain maximum sensitivity to the estimated locations of the cracks.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1992
Accession Number
ADA253884

Entities

People

  • Kurt Bryan
  • Michael Vogelius

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computations
  • Coordinate Systems
  • Electrodes
  • Equations
  • Geometry
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Iterations
  • Linear Systems
  • Mathematical Models
  • Mathematics
  • Three Dimensional
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics
  • Structural Health Monitoring of Composite Structures.