Resonance dispersion of the longitudinal waves in disperse composites

摘要

Vibrations and longitudinal waves in a composite formed by a viscoelastic matrix and solid-state inclusions are considered. Vibration-wave processes in the long-wave approximation are described on the basis of the complex dynamic density taking into account inertial-elastic-viscous interaction of the matrix and inclusion-oscillators upon their forward vibrations. Resonance dependences for the dynamic density and translational viscosity of the composite at the moderate volume concentration of inclusions are presented. The formulas obtained are specified for composites with spherical and cylindrical inclusions and are compared with the known experimental results.