Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000geoji.143..328m&link_type=abstract
Geophysical Journal International, Volume 143, Issue 2, pp. 328-334.
Astronomy and Astrophysics
Astronomy
3
Finite Elements, Lamb Waves, Scattering<X>, .</X>
Scientific paper
This paper is concerned with the calculation of elastic wavefields in strongly heterogeneous media containing scatterers of arbitrary shape and size. A hybrid method is described in which the elastodynamic field within a finite region enclosing the scatterers is modelled by finite elements while the field away from this region is represented by means of a suitable set of wave functions. Application of a variational principle and the continuity conditions at the interface between the two regions lead to a system of linear equations that is solved by standard techniques. The hybrid method extends the applicability of the finite element method to wave propagation problems in unbounded media by rigorously modelling the radiation field. The method is used to calculate the elastodynamic field in a plate of finite thickness and infinite lateral dimensions containing geometric discontinuities.
Chang Zensheu
Mal Ajit
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