Short Pulse Dynamics in Strongly Nonlinear Dissipative Granular Chains
Soft Condensed Matter
2009-11-13 v1
Abstract
We study the energy decay properties of a pulse propagating in a strongly nonlinear granular chain with damping proportional to the relative velocity of the grains. We observe a wave disturbance that at low viscosities consists of two parts exhibiting two entirely different time scales of dissipation. One part is an attenuating solitary wave, is dominated by discreteness and nonlinearity effects as in a dissipationless chain, and has the shorter lifetime. The other is a purely dissipative shocklike structure with a much longer lifetime and exists only in the presence of dissipation. The range of viscosities and initial configurations that lead to this complex wave disturbance are explored.
Cite
@article{arxiv.0808.0527,
title = {Short Pulse Dynamics in Strongly Nonlinear Dissipative Granular Chains},
author = {Alexandre Rosas and Aldo H. Romero and Vitali F. Nesterenko and Katja Lindenberg},
journal= {arXiv preprint arXiv:0808.0527},
year = {2009}
}