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

Ru, Yan; Wang, G. F.; Su, Lei; Wang, T. J.

doi:10.1007/s00707-012-0797-7

Cited by 13 publications

(10 citation statements)

References 26 publications

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“…Further, Ou [16] discussed interface energy's effects on plane elastic waves's scattering by a nanosized coated fiber. Ru et al [17][18][19] investigated elastic waves' diffraction around a cylindrical nanoinclusion and then studied the surface effect of vertical shear wave's scattering by a cluster of nanosized cylindrical holes. Further, Wu [20] investigated the interface effect of SHwaves' scattering by a cylindrical nanoinclusion.…”

Section: Introductionmentioning

confidence: 99%

Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion

2019

Advances in Mathematical Physics

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This paper focuses on analyzing SH-wave scattering around a circular nanoinclusion using the complex variable function method. The surface elasticity theory is employed in the analysis to account for the interface effect at the nanoscale. Considering the interface effect, the boundary condition is given, and the infinite algebraic equations are established to solve the unknown coefficients of the scattered and refracted wave solutions. The analytic solutions of the stress field are obtained by using the orthogonality of trigonometric function. Finally, the dynamic stress concentration factor and the radial stress of a circular nanoinclusion are analyzed with some numerical results. The numerical results show that the interface effect weakens the dynamic stress concentration but enhances the radial stress around the nanoinclusion; further, we prove that the analytic solutions are correct.

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Section: Introductionmentioning

confidence: 99%

Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion

2019

Advances in Mathematical Physics

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“…They concluded that the stress field and stress concentration near a spherical nanocavity are strongly dependent on the residual surface tension, shape and size of the nanocavity, and that there are also several distinct differences on the action of surface effects on the diffraction of the S-wave and P-wave [114,115]. Early this year, the multiple scattering of vertical shear waves by an array of cylindrical nanoholes was expressed with the aid of displacement potentials and the wave function expansion method with the framework of surface elasticity [116]. It can be seen that the surface effects lower the dynamic stress concentration which also depends on the separation distance between the holes.…”

Section: Surface Elasticity Theory On Complex Nanostructures and Nanomentioning

confidence: 99%

Surface effects at the nanoscale based on Gurtin’s theory: a review

Liu

Xia³

2014

Journal of the Mechanical Behavior of Materials

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The fields of nanotechnology and nanoscience are full of opportunities and challenges. The needed modification of classical continuum mechanics to account for the dramatically novel characteristics and phenomena determining the mechanical response of nanomaterials/ structures remains an ambitious goal pursued by mechanics researchers. The theory of surface elasticity proposed by Gurtin and Murdoch has been shown to be an important tool in theoretical nanomechanics. In this paper, we present an overview of recent advances in application of surface elasticity theory at the nanoscale. In particular, we focus on the elastic and plastic deformation, vibration and buckling, fracture and contact behavior of nanoscale solids from one dimension to three dimensions. We hope that this contribution can provide a valuable insight into nanomechanics analysis methods by taking surface effects into account. The results may help to bridge the gap between conventional mechanics and findings from simulation and experiment, in such areas as multifunctional material and micro-electro-mechanical systems.

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“…Equation (11) shows us that, for a macroscopic inclusion with a big value of , ≪ 1; therefore, the surface effect can be neglected. However, when the radius of the inclusion shrinks to nanoscale, becomes noticeable and the surface effect should be considered in analysis [10][11][12][13][14].…”

Section: Diffraction Of Elastic Waves By Cylindrical Nanoholesmentioning

confidence: 99%

“…Wang [12] and Zhang et al [13] analyze the diffraction of elastic waves by a pair and an array of nanosized inhomogeneities. Recently, Ru et al discussed the surface effect on the scattering field induced by nanosized cylindrical holes [14]. Those investigations illustrated the importance of surface effects on the diffraction of elastic waves.…”

Section: Introductionmentioning

confidence: 99%

Surface Effect on Diffractions of Elastic Waves and Stress Concentration near a Cluster of Cylindrical Nanoholes Arranged as Quadrate Shape

2015

Advances in Materials Science and Engineering

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We consider the multiple scattering of elastic waves (P-wave and SV-wave) by a cluster of nanosized cylindrical holes arranged as quadrate shape. When the radius of the holes shrinks to nanometers, the surface elasticity theory is adopted in analysis. Using the displacement potential method and wave functions expansion method, we obtain that the multiple scattering fields induced by incident P-and SV-waves around the holes are derived. The dynamic stress concentration around the holes is calculated to illustrate the effect of surface effects on the multiple scattering of P-and SV-waves.

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

Cited by 13 publications

References 26 publications

Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion

Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion

Surface effects at the nanoscale based on Gurtin’s theory: a review

Surface Effect on Diffractions of Elastic Waves and Stress Concentration near a Cluster of Cylindrical Nanoholes Arranged as Quadrate Shape

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