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We study impulse response in 1-D homogeneous micro-granular chains on alinear elastic substrate. Micro-granular interactions are analyticallydescribed by the Schwarz contact model which includes nonlinear compressive aswell as snap-to/from-contact adhesive effects forming a hysteretic loop in theforce deformation relationship. We observe complex transient dynamics,including disintegration of solitary pulses, local clustering and low- tohigh-frequency energy transfers resulting in enhanced energy dissipation. Westudy in detail the underlying dynamics of cluster formation in the impulsivelyloaded medium, and relate enhanced energy dissipation to the rate of clusterformation. These unusual and interesting dynamical phenomena are shown to berobust over a range of physically feasible conditions, and are solely scaleeffects, since they are attributed to surface forces, which have no effect atthe macro-scale. We establish a universal relation between the re-clusteringrate and the effective damping in these systems. Our findings demonstrate thatscale effects generating new nonlinear features can drastically affect thedynamics and acoustics of micro-granular materials.

Mechanisms for impulsive energy dissipation and small scale effects in micro-granular media