Journal
PHYSICAL REVIEW LETTERS
Volume 102, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.102.024102
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Funding
- NSF-DMS [NSF-CMMI 0825345]
- NSF-CAREER
- AvH Foundation
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [0825345] Funding Source: National Science Foundation
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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.
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