English

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

Classical Physics 2018-08-15 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0806.2535,
  title  = {Propagation of compressional elastic waves through a 1-D medium with contact nonlinearities},
  author = {Bruno Lombard and Joël Piraux},
  journal= {arXiv preprint arXiv:0806.2535},
  year   = {2018}
}

Comments

Article following the fifth meeting of GdR 2501 (CNRS)