0
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
Your Session has timed out. Please sign back in to continue.

References

Alleyne,  D. N., Lowe,  M. J. S., and Cawley,  P., 1998, “The Reflection of Guided Waves from Circumferential Notches in Pipes,” ASME J. Appl. Mech., 65, pp. 635–641.
Lowe,  M. J. S., Alleyne,  D. N., and Cawley,  P., 1998, “The Mode Conversion of a Guided Wave by a Part-Circumferential Notch in a Pipe,” ASME J. Appl. Mech., 65, pp. 649–656.
Pan,  E., Rogers,  J., Datta,  S. K., and Shah,  A. H., 1999, “Mode Selection of Guided Waves for Ultrasonic Inspection of Gas Pipelines with Thick Coating,” Mech. Mater., 31, pp. 165–174.
Soldatos,  K. P., 1994, “Review of Three-Dimensional Dynamic Analyses of Circular Cylinders and Cylindrical Shells,” Appl. Mech. Rev., 47, pp. 501–516.
Datta, S. K., 2000, “Wave Propagation in Composite Plates and Shells,” Vol. 1, T.-W. Chou, ed., Comprehensive Composite Materials, Elsevier Science Publishers, Oxford, pp. 511–557.
Kohl,  T., Datta,  S. K., and Shah,  A. H., 1992, “Axially Symmetric Pules Propagation in Semi-Infinite Hollow Cylinders,” AIAA J., 30, pp. 1617–1624.
Rattanawangcharoen, N., 1993, “Propagation and Scattering of Elastic Waves in Laminated Circular Cylinders,” Ph. D. thesis, University of Manitoba, Winnipeg, MB.
Rattanawangcharoen,  N., Shah,  A. H., and Datta,  S. K., 1994, “Reflection of Waves at the Free Edge of a Laminated Circular Cylinder,” ASME J. Appl. Mech., 61, pp. 323–329.
Rattanawangcharoen,  N., Zhuang,  W., Shah,  A. H., and Datta,  S. K., 1997, “Axisymmetric Guided Waves in Jointed Laminated Cylinders,” ASME J. Eng. Mechn. 123, pp. 1020–1026.
Zhuang,  W., Shah,  A. H., and Datta,  S. K., 1997, “Axisymmetric Guided Wave Scattering by Cracks in Welded Steel Pipes,” ASME J. Pressure Vessel Technol., 119, pp. 401–406.
Zhuang,  W., Shah,  A. H., and Dong,  S. B., 1999, “Elastodynamic Green’s Function for Laminated Anisotropic Circular Cylinders,” ASME J. Appl. Mech., 66, pp. 665–674.
Rattanawangcharoen,  N., and Shah,  A. H., 1992, “Guided Waves in Laminated Isotropic Circular Cylinder,” Computational Mechanics, 10, pp. 97–105.
Gazis,  D. C., 1959, “Three-Dimensional Investigation of the Propagation of Waves in Hollow Circular Cylinders. I. Analytical Foundation,” J. Acoust. Soc. Am., 31, pp. 568–578.
Bathe, K. J., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ.

Figures

Grahic Jump Location
Geometry of a steel pipe. Ri, inner radius; Ro, outer radius; d, crack depth; θo, half circumferential crack angle.
Grahic Jump Location
A typical mesh in the cross section. The shadow region represents the crack.
Grahic Jump Location
Frequency spectrum of a steel pipe. H/R=0.135, ν=0.287. (a) Longitudinal wave (m=0); (b) Flexural wave (m=1).
Grahic Jump Location
Phase velocity versus frequency for a steel pipe. H/R=0.135, ν=0.287.
Grahic Jump Location
Reflection coefficients for three different crack extensions. –, crack depth=0.5H; [[dashed_line]], crack depth=0.55H.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In