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

被引：0

作者：

Kuechler, S. ^{[1
]}

Meurer, T. ^{[3
]}

Qu, J. ^{[2
]}

Jacobs, L. J. ^{[1
,2
]}

机构：

[1] Georgia Inst Technol, Sch Civil & Environm Engn, Atlanta, GA 30332 USA

[2] Georgia Inst Technol, GW Woodruff Sch, Mech Engn, Atlanta, GA 30332 USA

[3] Vienna Univ Technol, Automat & Control Inst, A-1040 Vienna, Austria

来源：

REVIEW OF PROGRESS IN QUANTITATIVE NONDESTRUCTIVE EVALUATION, VOL 27A AND 27B | 2008年 / 975卷

关键词：

Lamb problem; nonlinear elastic half-space; wave propagation; numerical solution;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：70 / +

页数：2

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