This test refers to acoustical waves in compressible media when the wave amplitude is much higher, and significant local deformations are created by the wave propagation. These deformations cause local modifications of the material elastic properties, inducing nonlinear behaviour. The cause of the nonlinearity is related to the micro - defects within the concrete. In the specific case of ASR, the micro-cracks (filled or not with gel) are subjected to various cycles of closing/opening due to the pressure of the propagating large amplitude compression waves. There are several methods for the measurement of nonlinear effects. The nonlinear resonance method allowed following two nonlinear phenomena such as resonant frequency shift and harmonic generation. Both phenomena are quantified by two nonlinear parameters and , proportional to resonant frequency shift and harmonic generation, respectively. The measurements were conducted by sweeping excitation frequency around the first resonance mode of the specimen for different excitation amplitudes. This procedure allowed determining the two following parameters