WAVE SUPERPOSED ON STATIC DEFORMATION

Summary In the context of the non-linear elasticity theory we consider a model for compressible solids called “compressible neo-Hookean material”. We show how (exact) finite-amplitude inhomogeneous plane wave solutions and finite-amplitude unattenuated solutions can combine to form a finite-amplitude Love wave. Also, we investigate the special case when the interface between the layer and the substrate is in a principal plane of the pre-strain. COMPRESSIBLE NEO-HOOKEAN MATERIALS In the context of the finite elasticity theory we consider a model for compressible solids called “compressible neo-Hookean material”. These non-linear elastic materials are characterized by their mass density (in the undeformed state) ρ0, by their shear modulus µ, and by a constitutive functionG(J) describing the compressibility properties. The constitutive equation for the Cauchy stress tensor T i