Highly Nonlinear Solitary Waves in Periodic Dimer Granular Chains

Details Highly Nonlinear Solitary Waves in Periodic Dimer Granular Chains Highly Nonlinear Solitary Waves in Periodic Dimer Granular Chains

2007-05-23

arxiv.org/abs/0705.3471v3

Nonlinear Sciences

Pattern Formation and Solitons

4.2 pages, 3 figures (each with multiple panels); adjustments in title, text, and figures; typos corrected; to appear in Physi

Scientific paper

10.1103/PhysRevE.77.015601

We report the propagation of highly nonlinear solitary waves in heterogeneous, periodic granular media using experiments, numerical simulations, and theoretical analysis. We examine periodic arrangements of particles in experiments in which stiffer/heavier beads (stainless steel) are alternated with softer/lighter ones (PTFE beads). We find excellent agreement between experiments and numerics in a model with Hertzian interactions between adjacent beads, which in turn agrees very well with a theoretical analysis of the model in the long-wavelength regime that we derive for heterogeneous environments and general bead interactions. Our analysis encompasses previously-studied examples as special cases and also provides key insights on the influence of the dimer lattice on the properties (width and propagation speed) of the obtained highly nonlinear wave solutions.

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