Large-amplitude Love waves

TL;DR

This paper derives exact solutions for large-amplitude Love waves in a layered compressible neo-Hookean solid system, analyzing wave energy and effects of prestrain, with numerical illustrations.

Contribution

It presents the first exact finite-amplitude Love wave solutions in a layered prestrained compressible neo-Hookean model.

Findings

Exact solutions for finite-amplitude Love waves derived

Energy density and flux expressions obtained

Numerical example illustrating wave behavior

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 finite-amplitude Love wave. We take a layer of finite thickness overlying a solid half-space, both made of different prestressed compressible neo-Hookean 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 prestrain. A numerical example is given.