Publication Date
2009
Journal or Book Title
PHYSICAL REVIEW LETTERS
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.
Pages
-
Volume
102
Issue
2
Recommended Citation
Carretero-Gonzalez, R; Khatri, D; Porter, MA; Kevrekidis, PG; and Daraio, C, "Dissipative Solitary Waves in Granular Crystals" (2009). PHYSICAL REVIEW LETTERS. 64.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/64
Comments
This is the prepublished version harvested from ArXiv. The published version is located at http://prl.aps.org/abstract/PRL/v102/i2/e024102