Rayleigh-type wave in a nonlocal elastic solid with voids

The present work is concerned with propagation of surface waves in an isotropic homogeneous nonlocal elastic solid half-space with voids. Dispersion relation for Rayleigh-type surface wave has been derived, which is found to be complex in nature. The variation of phase speed and corresponding attenuation of Rayleigh-type wave against frequency, nonlocality and void parameters is computed for a specific model and presented graphically. It is shown that only one mode of Rayleigh-type wave exists, which faces a critical frequency same as the critical frequency of shear wave. The dispersion arises due to the presence of voids and nonlocality in the medium. The particle motion is elliptical and a tilt in the plane of particle motion occurs due to the presence of void parameter 'τ' in the medium. In the low frequency range, the variation in ellipticity is due to the presence of voids in the medium. Some particular cases have been deduced from the present formulation.