Sound wave propagation in weakly polydisperse granular materials

O.J.P. Mouraille, Stefan Luding

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Abstract

Dynamic simulations of wave propagation are performed in dense granular media with a narrow polydisperse size-distribution and a linear contact-force law. A small perturbation is created on one side of a static packing and its propagation, for both P- and S-waves, is examined. A size variation comparable to the typical contact deformation already changes sound propagation considerably. The transmission spectrum becomes discontinuous, i.e., a lower frequency band is transmitted well, while higher frequencies are not, possibly due to attenuation and scattering. This behaviour is qualitatively reproduced for (i) Hertz non-linear contacts, for (ii) frictional contacts, (iii) for a range of smaller amplitudes, or (iv) for larger systems. This proves that the observed wave propagation and dispersion behaviour is intrinsic and not just an artifact of (i) a linear model, (ii) a frictionless packing, (iii) a large amplitude non-linear wave, or (iv) a finite size effect.
Original languageEnglish
Pages (from-to)498-505
Number of pages8
JournalUltrasonics
Volume48
Issue number6-7
DOIs
Publication statusPublished - 2008

Fingerprint

granular materials
sound waves
wave propagation
wave dispersion
sound propagation
P waves
S waves
artifacts
attenuation
low frequencies
perturbation
propagation
scattering
simulation

Keywords

  • DEM simulation
  • Friction
  • Granular matter
  • IR-80339
  • Sound propagation
  • METIS-249695
  • Non-linear phenomena

Cite this

Mouraille, O.J.P. ; Luding, Stefan. / Sound wave propagation in weakly polydisperse granular materials. In: Ultrasonics. 2008 ; Vol. 48, No. 6-7. pp. 498-505.
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Sound wave propagation in weakly polydisperse granular materials. / Mouraille, O.J.P.; Luding, Stefan.

In: Ultrasonics, Vol. 48, No. 6-7, 2008, p. 498-505.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Sound wave propagation in weakly polydisperse granular materials

AU - Mouraille, O.J.P.

AU - Luding, Stefan

PY - 2008

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N2 - Dynamic simulations of wave propagation are performed in dense granular media with a narrow polydisperse size-distribution and a linear contact-force law. A small perturbation is created on one side of a static packing and its propagation, for both P- and S-waves, is examined. A size variation comparable to the typical contact deformation already changes sound propagation considerably. The transmission spectrum becomes discontinuous, i.e., a lower frequency band is transmitted well, while higher frequencies are not, possibly due to attenuation and scattering. This behaviour is qualitatively reproduced for (i) Hertz non-linear contacts, for (ii) frictional contacts, (iii) for a range of smaller amplitudes, or (iv) for larger systems. This proves that the observed wave propagation and dispersion behaviour is intrinsic and not just an artifact of (i) a linear model, (ii) a frictionless packing, (iii) a large amplitude non-linear wave, or (iv) a finite size effect.

AB - Dynamic simulations of wave propagation are performed in dense granular media with a narrow polydisperse size-distribution and a linear contact-force law. A small perturbation is created on one side of a static packing and its propagation, for both P- and S-waves, is examined. A size variation comparable to the typical contact deformation already changes sound propagation considerably. The transmission spectrum becomes discontinuous, i.e., a lower frequency band is transmitted well, while higher frequencies are not, possibly due to attenuation and scattering. This behaviour is qualitatively reproduced for (i) Hertz non-linear contacts, for (ii) frictional contacts, (iii) for a range of smaller amplitudes, or (iv) for larger systems. This proves that the observed wave propagation and dispersion behaviour is intrinsic and not just an artifact of (i) a linear model, (ii) a frictionless packing, (iii) a large amplitude non-linear wave, or (iv) a finite size effect.

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KW - Non-linear phenomena

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