Elastic wave propagation in confined granular systems Export

@article{citeulike:2185628, abstract = {We present numerical simulations of acoustic wave propagation in confined granular systems consisting of particles interacting with the three-dimensional Hertz-Mindlin force law. The response to a short mechanical excitation on one side of the system is found to be a propagating coherent wave front followed by random oscillations made of multiply scattered waves. We find that the coherent wave front is insensitive to details of the packing: force chains do not play an important role in determining this wave front. The coherent wave propagates linearly in time, and its amplitude and width depend as a power law on distance, while its velocity is roughly compatible with the predictions of macroscopic elasticity. As there is at present no theory for the broadening and decay of the coherent wave, we numerically and analytically study pulse propagation in a one-dimensional chain of identical elastic balls. The results for the broadening and decay exponents of this system differ significantly from those of the random packings. In all our simulations, the speed of the coherent wave front scales with pressure as p<SUP>1/6</SUP> ; we compare this result with experimental data on various granular systems where deviations from the p<SUP>1/6</SUP> behavior are seen. We briefly discuss the eigenmodes of the system and effects of damping are investigated as well.}, archivePrefix = {arXiv}, author = {Somfai, E. and Roux, J. N. and Snoeijer, J. H. and van Hecke, M. and van Saarloos, W.}, citeulike-article-id = {2185628}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0408128}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0408128}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevE.72.021301}, citeulike-linkout-3 = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2005PhRvE..72b1301S}, doi = {10.1103/PhysRevE.72.021301}, eprint = {cond-mat/0408128}, journal = {Phys. Rev. E}, keywords = {elastic\_waves, granular}, month = {August}, number = {2}, pages = {021301+}, posted-at = {2008-01-01 17:12:38}, priority = {2}, title = {Elastic wave propagation in confined granular systems}, url = {http://dx.doi.org/10.1103/PhysRevE.72.021301}, volume = {72}, year = {2005} }

TY - JOUR ID - citeulike:2185628 L3 - citeulike-article-id:2185628 N2 - We present numerical simulations of acoustic wave propagation in confined granular systems consisting of particles interacting with the three-dimensional Hertz-Mindlin force law. The response to a short mechanical excitation on one side of the system is found to be a propagating coherent wave front followed by random oscillations made of multiply scattered waves. We find that the coherent wave front is insensitive to details of the packing: force chains do not play an important role in determining this wave front. The coherent wave propagates linearly in time, and its amplitude and width depend as a power law on distance, while its velocity is roughly compatible with the predictions of macroscopic elasticity. As there is at present no theory for the broadening and decay of the coherent wave, we numerically and analytically study pulse propagation in a one-dimensional chain of identical elastic balls. The results for the broadening and decay exponents of this system differ significantly from those of the random packings. In all our simulations, the speed of the coherent wave front scales with pressure as p<SUP>1/6</SUP> ; we compare this result with experimental data on various granular systems where deviations from the p<SUP>1/6</SUP> behavior are seen. We briefly discuss the eigenmodes of the system and effects of damping are investigated as well. IS - 2 JF - Phys. Rev. E TI - Elastic wave propagation in confined granular systems VL - 72 SP - 021301 KW - elastic_waves KW - granular AU - Somfai, E AU - Roux, JN AU - Snoeijer, JH AU - van Hecke, M AU - van Saarloos, W PY - 2005/August// UR - http://dx.doi.org/10.1103/PhysRevE.72.021301 ER -