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Non-collinear Shear Wave Mixing at a Contact Interface: Analytical Modelling and Parametric Investigation

Non-collinear wave mixing provides an attractive approach for detecting various forms of material degradation or structural damage that give rise to a nonlinear ultrasonic response. A new analytical solution for the shear wave mixing at a plane interface characterised by a nonlinear traction law is presented. This analytical solution is derived utilizing a recent approach to describe the scattered field from two contributions that exhibit symmetries corresponding to Mode I or Mode II, in the terminology of fracture mechanics, and a perturbation analysis. The practical value of the analytical formulae for parametric studies is demonstrated and the results are discussed in comparison with experimental results.