Propagation of compressional elastic waves through a 1-D medium with contact nonlinearities

Bruno Lombard (1) , Joël Piraux (1)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

Propagation of monochromatic elastic waves across cracks is investigated in 1D, both theoretically and numerically. Cracks are modeled by nonlinear jump conditions. The mean dilatation of a single crack and the generation of harmonics are estimated by a perturbation analysis, and computed by the harmonic balance method. With a periodic and finite network of cracks, direct numerical simulations are performed and compared with Bloch-Floquet's analysis.

Mots clés: contact acoustic nonlinearity; harmonic balance method; perturbations analysis; Bloch-Floquet; numerical simulations

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Bruno Lombard, Joël Piraux. Propagation of compressional elastic waves through a 1-D medium with contact nonlinearities. Alain Leger & MarC Deschamps. Ultrasonic wave propagation in non homogeneous media, Springer Berlin Heidelberg, pp.183-194, 2009, Springer Proceedings in Physics 128. ⟨hal-00288271⟩