Guided Elastic Waves in Pre-Stressed Solids for the Ultrasonic Characterization of Interfacial Zones

Abstract

Towards a mechanical dynamic characterization of pre-stressed layered solids and a non-destructive ultrasonic evaluation of their interfacial bonds, it is necessary to examine the propagation of elastic interfacial waves along planar boundaries between finitely pre-strained incompressible solids. The effect of pre-stress on the propagation of Stoneley waves was first examined in [1,2] for two half-spaces of the same incompressible neo-hookean material subjected to different homogeneous pre-strains of common principal axes. In [3] propagation of Stoneley waves along a common principal axis of pre-strain of the two half-spaces which were taken as different incompressible materials having arbitrary strain energy functions was considered. The effect of pre-stress on Rayleigh waves was first studied in [4]. In [5] results were obtained for more general pre-stress conditions on an incompressible half-space of arbitrary strain energy function.