Numerical Analysis of the Acoustic Signature of a Surface-Breaking Crack

Veom Seok Ahn; John G. Harris; Jan D. Achenbach

doi:10.1109/58.166817

Numerical Analysis of the Acoustic Signature of a Surface-Breaking Crack

Veom Seok Ahn, John G. Harris, Jan D. Achenbach

Civil and Environmental Engineering

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

9 Scopus citations

Abstract

The boundary element method is used to calculate the acoustic signature, produced by a line focus scanning acoustic microscope, of an elastic object containing a surface-breaking crack. The acoustic signature has a vertical (z) and horizontal (x) dependence. A model of the microscope developed in an earlier paper is used here and extended to take account of the crack. The mathematical formulation of the scattering problem for the cracked object leads to hypersingular integral equations. A suitable technique is employed to solve such equations by the boundary element method. An electromechanical reciprocity identity is used to relate the received voltage to the acoustic wavefields collected by the lens. The acoustic wavefield scattered from the cracked object is investigated and curves are presented that display the acoustic signature, as functions of (x,z), for cracks of various depths and orientations. A method is suggested to measure the depth of a surface-breaking crack using the acoustic signature.

Original language	English (US)
Pages (from-to)	112-118
Number of pages	7
Journal	IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume	39
Issue number	1
DOIs	https://doi.org/10.1109/58.166817
State	Published - Jan 1992

Funding

Manuscript received March 25, 1991; revised June 24, 1991; accepted June 25, 1991. This work was supported in part by contract DEFG02-86-ER13484 with the Department of Energy, Office of Basic Energy Sciences, Engineering Research Program, and in part by a grant from Cray Research, Inc. toward access to the Pittsburgh Supercomputing Center. V. S. Ahn is at 162 Okyo-dong, Jung-ku, Ulsan-City, Kyungsangnam-do, Republic of Korea. J. D. Achenbach is with the Center for Quality Engineering and Failure Prevention Northwestern University Evanston, IL 60208. J. G. Harris is with the Department of Theoretical and Applied Mechanics University of Illinois, Urbana, IL 61801. IEEE Log Number 9103581.

ASJC Scopus subject areas

Instrumentation
Electrical and Electronic Engineering
Acoustics and Ultrasonics

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10.1109/58.166817

Cite this

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title = "Numerical Analysis of the Acoustic Signature of a Surface-Breaking Crack",

abstract = "The boundary element method is used to calculate the acoustic signature, produced by a line focus scanning acoustic microscope, of an elastic object containing a surface-breaking crack. The acoustic signature has a vertical (z) and horizontal (x) dependence. A model of the microscope developed in an earlier paper is used here and extended to take account of the crack. The mathematical formulation of the scattering problem for the cracked object leads to hypersingular integral equations. A suitable technique is employed to solve such equations by the boundary element method. An electromechanical reciprocity identity is used to relate the received voltage to the acoustic wavefields collected by the lens. The acoustic wavefield scattered from the cracked object is investigated and curves are presented that display the acoustic signature, as functions of (x,z), for cracks of various depths and orientations. A method is suggested to measure the depth of a surface-breaking crack using the acoustic signature.",

author = "Ahn, {Veom Seok} and Harris, {John G.} and Achenbach, {Jan D.}",

note = "Funding Information: Manuscript received March 25, 1991; revised June 24, 1991; accepted June 25, 1991. This work was supported in part by contract DEFG02-86-ER13484 with the Department of Energy, Office of Basic Energy Sciences, Engineering Research Program, and in part by a grant from Cray Research, Inc. toward access to the Pittsburgh Supercomputing Center. V. S. Ahn is at 162 Okyo-dong, Jung-ku, Ulsan-City, Kyungsangnam-do, Republic of Korea. J. D. Achenbach is with the Center for Quality Engineering and Failure Prevention Northwestern University Evanston, IL 60208. J. G. Harris is with the Department of Theoretical and Applied Mechanics University of Illinois, Urbana, IL 61801. IEEE Log Number 9103581.",

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Numerical Analysis of the Acoustic Signature of a Surface-Breaking Crack

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