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Technical Briefs

A Series Solution for the Diffraction of SH Waves by a Vertical Edge Crack

[+] Author and Article Information
Deng-How Tsaur1

Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung, Taiwan 202-24, R.O.C.hretdh@ntou.edu.tw

Kao-Hao Chang

Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung, Taiwan 202-24, R.O.C.D91520001@ntou.edu.tw

Ming-Sheng Hsu

Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung, Taiwan 202-24, R.O.C.D92520001@ntou.edu.tw

1

Corresponding author.

J. Appl. Mech 78(4), 044502 (Apr 14, 2011) (4 pages) doi:10.1115/1.4003745 History: Received August 10, 2010; Revised January 17, 2011; Posted March 03, 2011; Published April 14, 2011; Online April 14, 2011

Herein, a substitute series solution, which is unavailable in literature, pertaining to the antiplane diffraction problem by a vertical edge crack, is derived via the region-matching technique combining with the method of images. The dynamic stress intensity factor can be straightforwardly extracted from the expression of the radial stress field, fulfilling the crack-tip singularity inherently. Computed results of the extremely near-, near-, and far-field solutions agree well with those of exact analytical solution and available data. The proposed approach can be applied to cope with the diffraction problems by multiple cracks or branched cracks under SH-wave incidence.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Geometric layout of the problem

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Figure 2

Radiation patterns for comparison with the results of Ref. 9

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Figure 3

COD versus y/a for comparison with the results of Ref. 2

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Figure 4

|KIII| versus ka for comparison with the results of Refs. 2 and (9)

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