The Luxembourg–Gorky effect for elastic shear horizontal guided waves — Analytical and numerical modelling.

The Luxembourg–Gorky (L–G) effect for elastic shear horizontal guided waves is investigated. A new non-classical theoretical model of wave dissipation is proposed to explain the nonlinear modulation transfer. The nonlinear form of the Kelvin–Voigt model is used in these investigations. The analytical work is validated using numerical simulations based on the Local Interaction Simulation Approach (LISA), implemented for the nonlinear wavefield. The analytical and simulated results – that are in good agreement – not only explain the acoustic equivalent of the L–G effect but also demonstrate how the severity of damage and carrier frequencies of the excited waves influence the nonlinear modulation transfer behind this effect. The work presented is in good agreement with the analytical models that explain the original L–G effect for electromagnetic waves. • A new model to explain the Luxembourg–Gorky effect for elastic shear waves is given. • The model is based on the Kelvin–Voigt viscoelasticity with nonlinear damping term. • Theoretical work based on perturbation method is validated by numerical simulations. • Numerical modelling is based on the nonlinear Local Interaction Simulation Approach. • The model is consistent with the Luxembourg–Gorky effect for electromagnetic waves. [ABSTRACT FROM AUTHOR]