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Research Papers

Diffractions of Elastic Waves and Stress Concentration Near a Cylindrical Nano-Inclusion Incorporating Surface Effect

[+] Author and Article Information
Y. Ru, G. F. Wang

Department of Engineering Mechanics, MOE Key Laboratory for Strength and Vibration, Xi’an Jiaotong University, Xi’an 710049, China

T. J. Wang

Department of Engineering Mechanics, MOE Key Laboratory for Strength and Vibration, Xi’an Jiaotong University, Xi’an 710049, Chinawangtj@mail.xjtu.edu.cn

J. Vib. Acoust 131(6), 061011 (Nov 20, 2009) (7 pages) doi:10.1115/1.4000479 History: Received November 01, 2008; Revised May 22, 2009; Published November 20, 2009; Online November 20, 2009

The diffractions of plane compressional waves (P-wave) and shear waves (SV-wave) by a cylindrical nano-inclusion are investigated in this paper. To account for the surface/interface effect at nanoscale, the surface/interface elasticity theory is adopted in the analysis. Using the displacement potential method, we obtain the solutions for the elastic fields induced by incident P- and SV-waves near a cylindrical nano-inclusion. The results show that surface/interface has a significant effect on the diffractions of elastic waves as the radius of the inclusion shrinks to nanoscale. For incident waves with different frequencies, the effects of interfacial properties on the dynamic stress concentration around the nano-inclusion are discussed in detail.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of the diffraction of elastic wave by a cylindrical inclusion

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Figure 2

Comparisons of the present numerical results for the DSCF induced by very low frequency incident P-wave and SV-wave with the static solutions for a cavity and a rigid inclusion without a surface effect, respectively

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Figure 3

Effect of interface parameter s on DSCFp near a soft inclusion for α1=0.2

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Figure 4

Effect of the shear modulus ratio μ2/μ1 on DSCFp for α1=0.2

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Figure 5

Effect of interface parameter s on DSCFp near a soft inclusion for α1=π

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Figure 6

Effect of the shear modulus ratio μ2/μ1 on DSCFp for α1=π

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Figure 7

DSCFp at θ=π/2 versus α1 for different values of interface parameter s

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Figure 8

Effect of interface parameter s on DSCFs near a soft inclusion for β1=0.2

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Figure 9

Effect of the shear modulus ratio μ2/μ1 on DSCFs for β1=0.2

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Figure 10

Effect of interface parameter s on DSCFs around a soft inclusion for β1=π

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Figure 11

Effect of the shear moduli ratio μ2/μ1 on DSCFs for β1=π

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Figure 12

DSCFs at θ=π/4 versus β1 for different values of interface parameter s

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