On the solution to the lamb problem in an elastic half-space with quadratic nonlinearity

S. Küchler, T. Meurer, J. Qu, L. J. Jacobs

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

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.

Original languageEnglish
Title of host publicationReview of Progress in QuantitativeNondestructive Evaluation
Pages70-77
Number of pages8
DOIs
StatePublished - 2008
Event34th Annual Review of Progress in Quantitative Nondestructive Evaluation - Golden, CO, United States
Duration: 22 Jul 200727 Jul 2007

Publication series

NameAIP Conference Proceedings
Volume975
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference34th Annual Review of Progress in Quantitative Nondestructive Evaluation
Country/TerritoryUnited States
CityGolden, CO
Period22/07/0727/07/07

Keywords

  • Lamb problem
  • Nonlinear elastic half-space
  • Numerical solution
  • Wave propagation

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