INVESTIGATING THE DISPERSION OF ELASTIC WAVES IN COMPOSITES USING A TWO-VELOCITY MODEL

Abstract

Based on the theory of multi-velocity continuum models, a model of a two-phase composite made up of elastic fibers or layers interlayed with a non-elastic viscoplastic matrix is constructed in [1]. Various versions of packing the layers and the matrix are considered, and a complete set of dynamic equations taking into account the viscoelastic interaction of the matrix and the inclusions is derived. The equations for an elastic composite follow as a particular case of the latter.
Based on the above equations, the results of investigating the propagation of harmonic waves in elastic composites are presented. Dispersion curves for various orientations of the fibers and layers of the composite are constructed. The present results are compared with the experimental results that corroborate the advantages of the approach used in [1].