Attenuation of short strongly nonlinear stress pulses in dissipative granular chains

Wang, S. Y.; Nesterenko, V. F.

doi:10.48550/arxiv.1504.04344

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“…The features of energy propagation in one-, two-and three-dimensional granular systems have been addressed, revealing the importance of the formation of force chains, which has motivated the study of pulse propagation in 1D-aligned spherical grains. With regard to this topic, a large volume of important literature has been produced, beginning with the theoretical developments of Nesterenko [6] and the numerical results of S. Sen [7,8] and proceeding through the experimental work of several groups [9][10][11][12][13][14][15].…”

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confidence: 99%

Mechanical impulse propagation in a three-dimensional packing of spheres confined at constant pressure

2016

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Mechanical impulse propagation in granular media depends strongly on the imposed confinement conditions. In this work, the propagation of sound in a granular packing contained by flexible walls that enable confinement under hydrostatic pressure conditions is investigated. This configuration also allows the form of the input impulse to be controlled by means of an instrumented impact pendulum. The main characteristics of mechanical wave propagation are analyzed, and it is found that the wave speed as function of the wave amplitude of the propagating pulse obeys the predictions of the Hertz contact law. Upon increasing the confinement pressure, a continuous transition from nonlinear to linear propagation is observed. Our results show that in the low-confinement regime, the attenuation increases with an increasing impulse amplitude for nonlinear pulses, whereas it is a weak function of the confinement pressure for linear waves.

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