In this paper, the motion of Love waves is considered in hyperelastic materials with an initially stressed reference configuration. Here, the Love wave is directed by a compressible layer on a compressible half-space and both are considered to be initially stressed. For the basic formulation of the problem, we make use of the nonlinear theory of elasticity and invariants of the stress tensor and deformation tensor. The equations governing a finite deformation superimposed by infinitesimal motions are used to the study the composite effect of finite deformation and initial stress on wave speed. Graphical illustrations are presented for theoretical results for a prototype model of material and also compared with the results already obtained for incompressible materials.
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