Unconventional wave reflection due to “resonant surface”

This study deals with the reflection phenomena in an elastic half-space on which lies a “resonant surface”. The resonant surface consists in a 2D periodic repetition of a surface element over which linear oscillators are distributed. Following the homogenization approach developed by Boutin and Rous...

Full description

Saved in:
Bibliographic Details
Published in:Wave motion 2013-06, Vol.50 (4), p.852-868
Main Authors: Schwan, L., Boutin, C.
Format: Article
Language:English
Subjects:
Anisotropy
Boundary layer
Conversion
Depolarization
Engineering Sciences
Half spaces
Homogenization
Homogenizing
Impedance
Mechanics
Oscillators
Resonant surface
Surface impedance
Three dimensional
Wave reflection
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This study deals with the reflection phenomena in an elastic half-space on which lies a “resonant surface”. The resonant surface consists in a 2D periodic repetition of a surface element over which linear oscillators are distributed. Following the homogenization approach developed by Boutin and Roussillon (2006) [1], the periodic distribution of oscillators (1 to 3D sprung-mass) is reduced to a frequency-dependent surface impedance. It is hereby shown that the surface motion comes to zero in the resonating direction around the oscillators’ eigenfrequency. Further, the surface impedance may be isotropic or anisotropic, according to the type of oscillator. Thereby unusual free/rigid mixed boundary condition arises, which in turn induces atypical reflected wave fields. The most notable effects are (i) drastic change of P and SV waves conversion, (ii) depolarization of shear waves, (iii) conversion of SH waves into P and SV waves, and (iv) possibility of vanishment of the whole reflected field. The physical insight of the theoretical results is discussed and numerical illustrations are provided. •A drastic change of P and SV waves conversion.•The full depolarization of normally-incident shear waves.•The conversion of SH waves into P and SV waves.•The possibility of the whole reflected field to vanish.
ISSN:0165-2125
1878-433X
DOI:10.1016/j.wavemoti.2013.02.010