@inproceedings{1e6cf7c2cab545e5ba548caff722583b,
title = "On the solution to the lamb problem in an elastic half-space with quadratic nonlinearity",
abstract = "This study investigates wave propagation in an elastic half-space with quadratic nonlinearity due to a time-dependent line load on the surface. The problem is first formulated as a hyperbolic system of conservation laws, which is then solved numerically using a semi-discrete central scheme. The numerical method is implemented using the package CentPack [1]. The accuracy of the numerical method is first studied by comparing the numerical solution with the analytical solution for a half-space with linear response (the original Lamb problem). The numerical results for the half-space with quadratic nonlinearity are then studied using signal-processing tools such as the fast Fourier transform (FFT) in order to analyze and interpret any nonlinear effects. This in particular provides the possibility to evaluate the excitation of higher order harmonics whose amplitude is used to infer material properties.",
keywords = "Lamb problem, Nonlinear elastic half-space, Numerical solution, Wave propagation",
author = "S. K{\"u}chler and T. Meurer and J. Qu and Jacobs, {L. J.}",
year = "2008",
doi = "10.1063/1.2902732",
language = "English",
isbn = "9780735404946",
series = "AIP Conference Proceedings",
pages = "70--77",
booktitle = "Review of Progress in QuantitativeNondestructive Evaluation",
note = "34th Annual Review of Progress in Quantitative Nondestructive Evaluation ; Conference date: 22-07-2007 Through 27-07-2007",
}