Abstract
Transverse waves in a dispersive composite formed by a viscoelastic matrix and rigid inclusions are considered. They are described in the long-wave approximation on the basis of complex dynamic properties of the composite, i.e., the dynamic density and shear-rotational elasticity, which takes into account the interaction between the matrix and the rigid inclusions in their translational, deformation, and rotational vibrations. The dependencies describing the effective dynamic properties of the composite and determining the resonance dispersion of transverse waves are obtained.
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