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TECHNICAL PAPERS

Scattering of Guided Waves by Circumferential Cracks in Steel Pipes

[+] Author and Article Information
H. Bai, A. H. Shah, N. Popplewell

Faculty of Engineering, University of Manitoba, Winnipeg, Manitoba R3T 2N2 Canada  

S. K. Datta

Department of Mechanical Engineering, University of Colorado, Boulder, CO 80309-0427

J. Appl. Mech 68(4), 619-631 (Sep 15, 2000) (13 pages) doi:10.1115/1.1364493 History: Received April 02, 2000; Revised September 15, 2000
Copyright © 2001 by ASME
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References

Figures

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Geometry of a steel pipe. Ri, inner radius; Ro, outer radius; d, crack depth; θo, half circumferential crack angle.
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A typical mesh in the cross section. The shadow region represents the crack.
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Frequency spectrum of a steel pipe. H/R=0.135, ν=0.287. (a) Longitudinal wave (m=0); (b) Flexural wave (m=1).
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Phase velocity versus frequency for a steel pipe. H/R=0.135, ν=0.287.
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Reflection coefficients for three different crack extensions. –, crack depth=0.5H; [[dashed_line]], crack depth=0.55H.
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Normalized reflection and transmission coefficients in a steel pipe. H/R=0.135, ν=0.287, crack length is ten percent of the circumference and crack depth=0.55H. (a) Reflection coefficient; (b) transmission coefficient.
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Normalized reflection and transmission coefficients in a steel pipe. H/R=0.135, ν=0.287, crack length is ten percent of the circumference and crack depth=0.55H. (a) Reflection coefficient; (b) transmission coefficient.
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Normalized reflection and transmission coefficients in a steel pipe. H/R=0.135, ν=0.287, crack length is 50 percent of the circumference and crack depth=0.55H. (a) Reflection coefficient; (b) transmission coefficient.
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Normalized reflection and transmission coefficients in a steel pipe. H/R=0.135, ν=0.287, crack length is 50 percent of the circumference and crack depth=0.55H. (a) Reflection coefficient; (b) transmission coefficient.
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Normalized reflection and transmission coefficients in a steel pipe as functions of the crack length at f=70 kHz.H/R=0.135, ν=0.287, crack depth=0.55H. (a) Reflection coefficient; (b) transmission coefficient.
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Normalized reflection and transmission coefficients in a steel pipe as functions of the crack length at f=70 kHz.H/R=0.135, ν=0.287, crack depth=0.55H. (a) Reflection coefficient; (b) transmission coefficient.

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