Skip to Main content Skip to Navigation
Journal articles

Unconventional wave reflection due to "resonant surface"

Abstract : 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.
Document type :
Journal articles
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00943758
Contributor : Christian Cardillo <>
Submitted on : Friday, February 28, 2014 - 3:05:57 PM
Last modification on : Wednesday, November 20, 2019 - 8:04:49 AM
Long-term archiving on: : Wednesday, May 28, 2014 - 10:41:33 AM

File

Unconventional_wave_reflection...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00943758, version 1

Collections

CNRS | ENTPE | UDL

Citation

Logan Schwann, Claude Boutin. Unconventional wave reflection due to "resonant surface". Wave Motion, Elsevier, 2013, 50 (4), pp.852-868. ⟨hal-00943758⟩

Share

Metrics

Record views

164

Files downloads

271