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Research Papers

Diffraction of Plane Compressional Waves by an Array of Nanosized Cylindrical Holes

[+] Author and Article Information
Q. F. Zhang

Department of Engineering Mechanics, SVL, Xi’an Jiaotong University, Xi’an 710049, China

G. F. Wang1

Department of Engineering Mechanics, SVL, Xi’an Jiaotong University, Xi’an 710049, Chinawanggf@mail.xjtu.edu.cn

P. Schiavone

Department of Mechanical Engineering, University of Alberta, Edmonton, AB, T6G 2G8, Canada

1

Corresponding author.

J. Appl. Mech 78(2), 021003 (Nov 04, 2010) (6 pages) doi:10.1115/1.4002529 History: Received July 30, 2009; Revised January 23, 2010; Posted September 09, 2010; Published November 04, 2010; Online November 04, 2010

When the radius of a hole reduces to nanometers, the influence of surface energy becomes prominent in its mechanical behavior. In the present paper, we consider the diffraction of plane compressional waves by an array of nanosized circular holes in an elastic medium. The effect of surface energy is taken into account through surface elasticity theory. Using the wave expansion method, we derive the corresponding elastic diffraction fields. Dynamic stress concentrations around the holes and the scattering cross section are calculated to address the surface effects on the diffraction phenomena.

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Figures

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Figure 1

Diffraction of P-wave by an array of circular cylindrical holes

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Figure 5

Distribution of DSCF around the hole with different separation d for αa=π

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Figure 2

Distribution of DSCF around the hole with various s for αa=0.05

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Figure 3

Distribution of DSCF around the hole with different separation d for αa=0.05

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Figure 4

Distribution of DSCF around the hole with various s for αa=π

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Figure 8

Average scattering cross section Q of an array of identical holes with respect to αa

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Figure 6

DSCF at θ=0.5π with respect to the incident wave frequency

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Figure 7

Scattering cross section Q of a single hole with respect to αa

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