Transitional nonlinear elastic behaviour in dense granular media

Details Transitional nonlinear elastic behaviour in dense granular media Transitional nonlinear elastic behaviour in dense granular media

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008georl..3519308b&link_type=abstract

Geophysical Research Letters, Volume 35, Issue 19, CiteID L19308

Physics

Geophysics

8

Physical Properties Of Rocks: Acoustic Properties, Nonlinear Geophysics: Nonlinear Waves, Shock Waves, Solitons (0689, 2487, 3280, 3285, 4275, 6934, 7851, 7852), Seismology: Earthquake Ground Motions And Engineering Seismology

Scientific paper

Nonlinear sound propagation in a stressed glass bead pack is investigated via amplitude measurements of harmonic generation. We evidence two distinct regimes of sound-matter interaction: reversible and irreversible, as a function of the ratio r s between dynamic strain and static one. In the reversible regime, the higher harmonics generated agree well with a mean-field model based on the Hertz contact theory, and the coefficient of nonlinearity β deduced from the measured amplitude of second-harmonic is consistent with that deduced from the acoustoelastic measurement. Beyond a certain threshold (r s > 3%), the interaction of sound wave with granular matter becomes irreversible, accompanied by a small compaction of the medium.

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