Large-amplitude love waves

Abstract

In the context of the finite elasticity theory we consider a model for compressible solids called "compressible neo-Hookean material". We show how finite-amplitude inhomogeneous plane wave solutions and finite-amplitude unattenuated solutions can combine to form a finiteamplitude Love wave. We take a layer of finite thickness overlying a solid half-space, both made of different pre-stressed compressible neoHookean materials. We derive an exact solution of the equations of motion and boundary conditions, and also obtain results for the energy density and the energy flux of the waves. Finally, we investigate the special case when the interface between the layer and the substrate is in a principal plane of the pre-stain. A numerical example is given.

Surface waves and surface stability for a pre-stretched, unconstrained, non-linearly elastic half-space

“…This material has received much attention in the literature. For example, this material was studied within the current context by Chadwick and Jarvis [12] and by Dowaikh and Ogden [13], within the context of surface instabilities by Usmani and Beatty [16] and within the context of finite wave propagation by Boulanger, Hayes and Trimarco [17], Boulanger and Hayes [18] and Rodrigues-Feirrera et al [19]. For this material…”