“…Among them, nonlinear elastic wave spectroscopy (NEWS) [ 40 , 41 , 42 ], nonlinear elastic wave modulation spectroscopy (NEWMS) [ 43 , 44 , 45 ], nonlinear imaging methods [ 46 , 47 , 48 ], and phase symmetry analysis (PSA) techniques [ 49 , 50 ] were used to explicitly interrogate the nonlinear behaviour of the medium and its effect on wave propagation. Many studies have shown that nonlinearities are generated in structures in the presence of ruptures, voids, cohesive bonds, and the opening/closing of surfaces or micro-cracks [ 51 , 52 , 53 ]. Material nonlinearity of damaged regions, in terms of nonlinear harmonic generation (due to ultrasound excitation), has been widely used over the past few years as a reliable signature for material flaw detection in both metallic and composite structures [ 46 , 54 , 55 ].…”