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Paper detail

Dissipative Solitary Waves in Granular Crystals

We provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optimization schemes that allow one to compute the relevant exponents and prefactors of the dissipative terms in the equations of motion. We thereby propose a quantitatively-accurate extension of the Hertzian model that encompasses dissipative effects via a discrete Laplacian of the velocities. Experiments and computations with steel, brass, and polytetrafluoroethylene reveal a {\em common} dissipation exponent with a material-dependent prefactor.

preprint2008arXivOpen access
R. Carretero-GonzalezD. KhatriMason A. PorterP. G. KevrekidisC. Daraio
nlin.PS
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R. Carretero-GonzalezD. KhatriMason A. PorterP. G. KevrekidisC. Daraio

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