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arXiv · 0812.0662

Dissipative Solitary Waves in Granular Crystals

R. Carretero-Gonzalez·D. Khatri·Mason A. Porter·P. G. Kevrekidis·C. Daraio
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Abstract

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.

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R. Carretero-Gonzalez, D. Khatri, Mason A. Porter, P. G. Kevrekidis, C. Daraio. 2008-12-03. Dissipative Solitary Waves in Granular Crystals. https://doi.org/10.1103/physrevlett.102.024102

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