THEORETICAL ASPECTS AND NUMERICAL COMPUTATION OF THE TIME-HARMONIC GREEN'S FUNCTION FOR AN ISOTROPIC ELASTIC HALF-PLANE WITH AN IMPEDANCE BOUNDARY CONDITION
Loading...
Date
2010
Journal Title
Journal ISSN
Volume Title
Publisher
EDP SCIENCES S A
Abstract
This work presents an effective and accurate method for determining, from a theoretical and computational point of view, the time-harmonic Green's function of an isotropic elastic half-plane where an impedance boundary condition is considered. This method, based on the previous work done by Duran et al. (cf. [Numer. Math. 107 (2007) 295-314; IMA J. Appl. Math. 71 (2006) 853-876]) for the Helmholtz equation in a half-plane, combines appropriately analytical and numerical techniques, which has an important advantage because the obtention of explicit expressions for the surface waves. We show, in addition to the usual Rayleigh wave, another surface wave appearing in some special cases. Numerical results are given to illustrate that. This is an extended and detailed version of the previous article by Duran et al. [C. R. Acad. Sci. Paris, Ser. IIB 334 (2006) 725-731].
Description
Keywords
Green's function, half-plane, time-harmonic elasticity, impedance boundary condition, surface waves, LAMBS PROBLEM, EMBEDDED SOURCES, SPACE, MODEL