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

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...

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Main Author: Ru Yan
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2015/134975
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author Ru Yan
author_facet Ru Yan
author_sort Ru Yan
collection DOAJ
description 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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issn 1687-8434
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spelling doaj-art-fbf4bf52463d4179889b1fe21d855aef2025-02-03T05:58:07ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422015-01-01201510.1155/2015/134975134975Surface Effect on Diffractions of Elastic Waves and Stress Concentration near a Cluster of Cylindrical Nanoholes Arranged as Quadrate ShapeRu Yan0Department of Engineering Mechanics, Xi’an University of Technology, Xi’an 710048, ChinaWe 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.http://dx.doi.org/10.1155/2015/134975
spellingShingle Ru Yan
Surface Effect on Diffractions of Elastic Waves and Stress Concentration near a Cluster of Cylindrical Nanoholes Arranged as Quadrate Shape
Advances in Materials Science and Engineering
title Surface Effect on Diffractions of Elastic Waves and Stress Concentration near a Cluster of Cylindrical Nanoholes Arranged as Quadrate Shape
title_full Surface Effect on Diffractions of Elastic Waves and Stress Concentration near a Cluster of Cylindrical Nanoholes Arranged as Quadrate Shape
title_fullStr Surface Effect on Diffractions of Elastic Waves and Stress Concentration near a Cluster of Cylindrical Nanoholes Arranged as Quadrate Shape
title_full_unstemmed Surface Effect on Diffractions of Elastic Waves and Stress Concentration near a Cluster of Cylindrical Nanoholes Arranged as Quadrate Shape
title_short Surface Effect on Diffractions of Elastic Waves and Stress Concentration near a Cluster of Cylindrical Nanoholes Arranged as Quadrate Shape
title_sort surface effect on diffractions of elastic waves and stress concentration near a cluster of cylindrical nanoholes arranged as quadrate shape
url http://dx.doi.org/10.1155/2015/134975
work_keys_str_mv AT ruyan surfaceeffectondiffractionsofelasticwavesandstressconcentrationnearaclusterofcylindricalnanoholesarrangedasquadrateshape