LOVE WAVE PROPAGATION IN A HOMOGENEOUS LAYER ON A LAYERED HALF-SPACE WITH SLIP AT THE INTERNAL CONTACT BOUNDARIES
D.D. Zakharov, I.S. Nikitin
Institute for Computer-Aided Design, Russian Academy of Sciences, Moscow, Russia
Keywords: Love wave, inhomogeneous medium, homogenization, layers, Winkler contact
Abstract
This paper describes the Love wave propagation in a layer overlying a half-space consisting of relatively thin layers, with slip at the contact boundaries. The slip contact conditions in the finely layered medium are specified by a linear Winkler-type condition for shear stresses. This medium is described by an asymptotically exact homogenized model that includes second-order terms in a small parameter-the layer thickness. Dispersion relations for Love waves are derived. Typical dispersion curves and through-thickness wave profiles are constructed. A parametric analysis is performed, revealing differences from the case of a homogeneous half-space.
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