Abstract

A model of the grain contact physics in the presence of a propagating wave is extended to included losses due to slippage. Mechanical coupling between grains in a randomly packed unconsolidated granular medium is inherently stochastic. Grain‐to‐grain contact asymmetry leads to coupling of kinetic energy into orthogonal linear and rotational motion at the grain level, and partitioning of the energy. The result is an increase in inertia, which may be treated as an additional or virtual mass term for both shear and compressional waves. The virtual mass term can be evaluated, given the scintillation index of the compressional and shear contact stiffness, Poisson’s ratio, and the average number of contact points at each grain. The effect of slippage at the grain‐to‐grain contact is examined. [Work supported by Office of Naval Research, Ocean Acoustics.]

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