A computational algorithm to determine crack locations from electrostatic boundary measurements. The case of multiple cracks

Kurt Bryan; Michael Vogelius

doi:10.1016/0020-7225(94)90020-5

A computational algorithm to determine crack locations from electrostatic boundary measurements. The case of multiple cracks

Kurt Bryan, Michael Vogelius

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

This paper develops an algorithm to reconstruct the locations of a collection of linear cracks inside a homogeneous electrical conductor from boundary measurements. We measure the boundary voltages induced by certain specified two-electrode current fluxes. The algorithm is based on a variation of Newton's method and it uses weighted averages of the measured boundary data. The algorithm adaptively changes the applied current fluxes at each iteration to maintain "maximal" sensitivity to the estimated locations of the cracks.

Original language	English (US)
Pages (from-to)	579-603
Number of pages	25
Journal	International Journal of Engineering Science
Volume	32
Issue number	4
DOIs	https://doi.org/10.1016/0020-7225(94)90020-5
State	Published - Apr 1994

All Science Journal Classification (ASJC) codes

General Materials Science
General Engineering
Mechanics of Materials
Mechanical Engineering

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10.1016/0020-7225(94)90020-5

Cite this

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title = "A computational algorithm to determine crack locations from electrostatic boundary measurements. The case of multiple cracks",

abstract = "This paper develops an algorithm to reconstruct the locations of a collection of linear cracks inside a homogeneous electrical conductor from boundary measurements. We measure the boundary voltages induced by certain specified two-electrode current fluxes. The algorithm is based on a variation of Newton's method and it uses weighted averages of the measured boundary data. The algorithm adaptively changes the applied current fluxes at each iteration to maintain {"}maximal{"} sensitivity to the estimated locations of the cracks.",

author = "Kurt Bryan and Michael Vogelius",

note = "Funding Information: Acknowledgements-The first author is partially supported by National Aeronautics and Space Administration Contracts NASI-18605 and NASI-19480; the second author is partially supported by National Science Foundation Grant DMS-89-02532 and AFOSR Contract 89-NM-605. This work was completed while the second author was visiting Laboratoire de Modelisation et Calcul, Universite Joseph Fourier, Grenoble.",

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T1 - A computational algorithm to determine crack locations from electrostatic boundary measurements. The case of multiple cracks

AU - Bryan, Kurt

AU - Vogelius, Michael

N1 - Funding Information: Acknowledgements-The first author is partially supported by National Aeronautics and Space Administration Contracts NASI-18605 and NASI-19480; the second author is partially supported by National Science Foundation Grant DMS-89-02532 and AFOSR Contract 89-NM-605. This work was completed while the second author was visiting Laboratoire de Modelisation et Calcul, Universite Joseph Fourier, Grenoble.

PY - 1994/4

Y1 - 1994/4

N2 - This paper develops an algorithm to reconstruct the locations of a collection of linear cracks inside a homogeneous electrical conductor from boundary measurements. We measure the boundary voltages induced by certain specified two-electrode current fluxes. The algorithm is based on a variation of Newton's method and it uses weighted averages of the measured boundary data. The algorithm adaptively changes the applied current fluxes at each iteration to maintain "maximal" sensitivity to the estimated locations of the cracks.

AB - This paper develops an algorithm to reconstruct the locations of a collection of linear cracks inside a homogeneous electrical conductor from boundary measurements. We measure the boundary voltages induced by certain specified two-electrode current fluxes. The algorithm is based on a variation of Newton's method and it uses weighted averages of the measured boundary data. The algorithm adaptively changes the applied current fluxes at each iteration to maintain "maximal" sensitivity to the estimated locations of the cracks.

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JO - International Journal of Engineering Science

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ER -

A computational algorithm to determine crack locations from electrostatic boundary measurements. The case of multiple cracks

Abstract

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