“…Several techniques for damage detection and localization have thus been developed based on the dynamics of the propagating wave to extract a nonlinear signature of the sample. Applications are reported for metals (Ohara et al, 2012;Hong et al, 2018;Li et al, 2019), composites (Amura and Meo, 2012;Genoves et al, 2015), rocks (Riviere et al, 2015), biological samples (Ulrich, 2007), etc. Damage related nonlinear elastic properties of materials of interest in civil engineering have also been widely studied: thermal induced damage (Payan et al, 2007;Scalerandi et al, 2013), corrosion cracks (Antonaci et al, 2013;Boukari et al, 2015), effects of carbonation (Bouchaala et al, 2011), or of static loads either external or shrinkage induced (Antonaci et al, 2010a,b;Kim et al, 2017), etc.…”