Anti-plane surface waves of an elastic half-space coated with a metacomposite layer

Inspired by recent research interest in metasurfaces, an effective medium model is presented to study anti-plane (Love) surface waves of an elastic half-space coated with an elastic metasurface thin layer filled with coated or uncoated hard spheres. Explicit formulas are derived for phase velocity and attenuation coefficient, and the general implications of the derived results are discussed with specific examples without or with damping effect on local resonance of embedded hard spheres. Emphasis is placed on the effects of the metasurface and damping on the structure of bandgap for Love waves, with detailed comparison to the known results on Love waves of an elastic half-space coated with a thin elastic layer or elastic plate. The derived results and conclusions may offer new insights into the study of surface elastic waves in locally resonant metacomposites.