Chapitre D'ouvrage Année : 2009

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

Résumé

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.

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hal-00288271 , version 1 (16-06-2008)

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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⟩
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