Short Pulse Dynamics in Strongly Nonlinear Dissipative Granular Chains

Details Short Pulse Dynamics in Strongly Nonlinear Dissipative Granular Chains Short Pulse Dynamics in Strongly Nonlinear Dissipative Granular Chains

2008-08-04

arxiv.org/abs/0808.0527v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.78.051303

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.

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