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Phys Rev Lett. 2009 Jan 16;102(2):024102. Epub 2009 Jan 16.

Dissipative solitary waves in granular crystals.

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1
Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182-7720, USA.

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 common dissipation exponent with a material-dependent prefactor.

PMID:
19257278
DOI:
10.1103/PhysRevLett.102.024102
[Indexed for MEDLINE]
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