Diffraction of Plane Compressional Waves by an Array of Nanosized Cylindrical Holes
Authors:
- 4 November 2010
- journal article
- Published by Wiley in Journal of Applied Mechanics
- Vol. 78 (2) , 021003
Abstract
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.Keywords
This publication has 25 references indexed in Scilit:
- Scattering of elastic waves and dynamic stress in two-particle reinforced composite systemMechanics of Materials, 2007
- Propagation of shear elastic waves in composites with a random set of spherical inclusions (effective field approach)International Journal of Solids and Structures, 2005
- A Dynamic Generalized Self-Consistent Model for Wave Propagation in Particulate CompositesJournal of Applied Mechanics, 2003
- Elastodynamic response of a coplanar periodic layer of elastic spherical inclusionsMechanics of Materials, 2000
- Multiple scattering effects of thermal waves by two subsurface cylindersJournal of Applied Physics, 2000
- Scattering of elastic waves by a rigid cylindrical inclusion partially debonded from its surrounding matrix—I. SH caseInternational Journal of Solids and Structures, 1996
- Reflection characteristics of an elastic slab containing a periodic array of circular elastic cylinders: P and S V wave analysisThe Journal of the Acoustical Society of America, 1988
- A simple self-consistent analysis of wave propagation in particulate compositesWave Motion, 1988
- Reflection and transmission of an obliquely incident wave by an array of spherical cavitiesThe Journal of the Acoustical Society of America, 1986
- Scattering of elastic waves by circular cylindrical flaws and inclusionsJournal of Applied Physics, 1979