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Surface waves in granular phononic crystals.

H Pichard1, A Duclos1, J-P Groby1

  • 1LAUM, UMR-CNRS 6613, Université du Maine, Av. O. Messiaen, 72085 Le Mans, France.

Physical Review. E
|March 18, 2016
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Summary
This summary is machine-generated.

This study investigates surface elastic waves in granular phononic crystals. Researchers theoretically predict zero-group-velocity surface acoustic waves, offering new insights into wave propagation in these materials.

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Acoustics

Background:

  • Granular phononic crystals exhibit unique wave propagation properties due to their periodic structure.
  • Surface elastic waves are crucial for understanding material behavior and device applications.
  • The interaction of constituent particles, including normal, shear, and bending rigidities, dictates wave characteristics.

Purpose of the Study:

  • To investigate the existence and properties of surface elastic waves at the free surface of granular phononic crystals.
  • To analyze both Rayleigh-type and shear-horizontal-type surface acoustic waves.
  • To theoretically predict and interpret the existence of zero-group-velocity surface acoustic waves.

Main Methods:

  • Modeling granular phononic crystals composed of spherical particles on a simple cubic lattice.
  • Analyzing particle interactions considering normal, shear, and bending contact rigidities.
  • Theoretical prediction and interpretation of Rayleigh-type and shear-horizontal-type surface acoustic waves, including zero-group-velocity phenomena.

Main Results:

  • Theoretical prediction of zero-group-velocity surface acoustic waves of the Rayleigh type.
  • Analysis of Rayleigh-type waves with sagittal plane displacement and multiple degrees of freedom.
  • Study of shear-horizontal-type waves with displacement normal to the sagittal plane and specific degrees of freedom.

Conclusions:

  • The study confirms the existence of specific surface elastic waves in granular phononic crystals.
  • Zero-group-velocity surface acoustic waves of Rayleigh type are theoretically predicted and interpreted.
  • Limitations of the reduced Cosserat theory for describing these wave phenomena are identified.