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Published January 16, 2009 | Published
Journal Article Open

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 common dissipation exponent with a material-dependent prefactor.

Additional Information

© 2009 The American Physical Society. Received 12 August 2008; published 16 January 2009. C.D. acknowledges support from NSF-CMMI 0825345, and P.G.K. acknowledges support from NSF-DMS, NSF-CAREER, and the AvH Foundation. We thank Charles Campbell for useful discussions.

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