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Scattering of vertical shear waves by a cluster of nanosized cylindrical holes with surface effect

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Abstract

This study considers the multiple scattering of vertical shear waves (SV-waves) by a cluster of nanosized cylindrical holes. When the radius of the holes shrinks to nanometers, surface effects play an important role in their mechanical performance, and the surface elasticity theory is adopted to analyze diffraction phenomena. By using the displacement potential method and wave functions expansion method, the scattering fields around the holes are derived. Both the dynamic stress concentration around the holes and the scattering cross section are calculated to illustrate the effect of surface effects on the multiple scattering of an SV-wave.

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Authors and Affiliations

  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, Department of Engineering Mechanics, Xi’an Jiaotong University, Xi’an, 710049, China

    Y. Ru, G. F. Wang, L. C. Su & T. J. Wang

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  1. Y. Ru
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  2. G. F. Wang
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  3. L. C. Su
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  4. T. J. Wang
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Correspondence to T. J. Wang.

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Ru, Y., Wang, G.F., Su, L.C. et al. Scattering of vertical shear waves by a cluster of nanosized cylindrical holes with surface effect. Acta Mech 224, 935–944 (2013). https://doi.org/10.1007/s00707-012-0797-7

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  • DOI: https://doi.org/10.1007/s00707-012-0797-7

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