Large-amplitude Love waves
Elizabete Rodrigues Ferreira, Philippe Boulanger, Michel Destrade

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.
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