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TECHNICAL BRIEFS

Dynamic Stress Concentration of a Circular Cutout Buried in Semi-Infinite Plates Subjected to Flexural Waves

[+] Author and Article Information
Xueqian Fang1

Department of Aerospace Engineering and Mechanics, Harbin Institute of Technology, Harbin 150001, Chinafangxueqian@163.com

Chao Hu, Wenhu Huang

Department of Aerospace Engineering and Mechanics, Harbin Institute of Technology, Harbin 150001, China

1

Author to whom correspondence should be addressed.

J. Appl. Mech 74(2), 382-387 (Feb 04, 2006) (6 pages) doi:10.1115/1.2198545 History: Received October 10, 2005; Revised February 04, 2006

In this paper, based on the theory of elastic thin plates, applying the image method and the wave function expansion method, multiple scattering of elastic waves and dynamic stress concentration in semi-infinite plates with a circular cutout are investigated, and the general solutions of this problem are obtained. As an example, the numerical results of dynamic stress concentration factors are graphically presented and discussed. Numerical results show that the analytical results of scattered waves and dynamic stress in semi-infinite plates are different from those in infinite plates when the distance ratio ba is comparatively small. In the region of low frequency and long wavelength, the maximum dynamic stress concentration factors occur on the illuminated side of scattered body with θ=π, but not on the side of cutout with θ=π2. As the incidence frequency increases (the wavelength becomes short), the dynamic stress on the illuminated side of cutout becomes little, and the dynamic stress on the shadow side becomes great.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Sketch of elastic waves incident in plates

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Figure 2

Dynamic stress concentration factors around a circular cutout (ka=0.1,b∕a=2.0)

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Figure 3

Dynamic stress concentration factors around a circular cutout (ka=0.5,b∕a=2.0)

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Figure 4

Dynamic stress concentration factors around a circular cutout (ka=1,b∕a=2.0)

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Figure 5

Dynamic stress concentration factors around a circular cutout (ka=0.1,b∕a=5.0)

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Figure 6

Dynamic stress concentration factors around a circular cutout (ka=0.5,b∕a=5.0)

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Figure 7

Dynamic stress concentration factors around a circular cutout (ka=1,b∕a=5.0)

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Figure 8

Dynamic stress concentration factors versus incident wave number (θ=π∕2)

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Figure 9

Dynamic stress concentration factors versus incident wave number (θ=π)

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Figure 10

Dynamic stress concentration factors versus b∕a(θ=π∕2)

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Figure 11

Dynamic stress concentration factors versus b∕a(θ=π)

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