Evidence of microstructure evolution in solid elastic media based on a power law analysis

Marco Scalerandi (1) , S. Idjimarene (1) , Mourad Bentahar (2) , Rachid El Guerjouma (2)

1 DISAT - Department of Applied Science and Technology [Politecnico di Torino]
2 LAUM - Laboratoire d'Acoustique de l'Université du Mans

Complex and consolidated granular media or microcracked composites and metals usually exhibit a high level of nonlinearity in their elastic response already at low amplitudes of excitation. To quantify it, a proper nonlinear indicator y is introduced and its dependence on the excitation amplitude x is studied. The dependence of y on x is found in experiments to be a power law. Here we show that the different power law exponents measured for different materials could be predicted by proper classes of discrete models. An application is presented to link the exponent evolution and the changes of the microstructure due to the progression of damage mechanically induced.

Mots clés: Nonlinear acoustics; Power law; Microstructure; Hysteretic discrete models; Multiscale modeling

Domaines: Acoustique [physics.class-ph]

Marco Scalerandi, S. Idjimarene, Mourad Bentahar, Rachid El Guerjouma. Evidence of microstructure evolution in solid elastic media based on a power law analysis. Communications in Nonlinear Science and Numerical Simulation, 2015, 22 (1-3), pp.334-347. ⟨10.1016/j.cnsns.2014.09.007⟩. ⟨hal-02989214⟩