Towards a Mathematical Model for Elastic Wave Propagation in Granular Materials

Leonardo Trujillo, Vanessa Torres, Franklin Peniche, Leonardo Di G. Sigalotti

Centro de Física, Instituto Venezolano de Investigaciones Científicas, (IVIC), Caracas, Venezuela.

DOI: 10.4236/eng.2012.412A123                

Abstract

A theoretical model for the propagation of acoustic waves in dry granular media is presented within the framework of the nonlinear granular elasticity. An essential ingredient is the dependence of the elastic moduli on compression. For the purpose of illustration, we analyze the case of a time-harmonic plane wave propagation under isotropic compression. We derive explicit relations for the wave speed dependence with the confining pressure. The present approach provides an accurate description of acoustic wave propagation in granular packings and represents a powerful tool to interpret the results of current experiments.

Keywords

Granular Media; Elastic Waves; Nonlinear Elasticity; Hydrostatic Compression; Granular Elasticity

Conflicts of Interest

The authors declare no conflicts of interest.

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