Open AccessDiffraction of SH cylindrical waves by a finite crack: an analytical solution
Author(s) -
IturraránViveros Ursula,
Vai Rossana,
SánchezSesma Francisco J.
Publication year - 2010
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2010.04579.x
Subject(s) - diffraction , wedge (geometry) , finite element method , harmonic , plane (geometry) , line source , geometry , plane wave , mathematical analysis , physics , geology , acoustics , mathematics , optics , thermodynamics
SUMMARY A new analytic solution for the problem of a line source of harmonic SH waves that struck a finite 2‐D plane crack is introduced. This construct is based on Macdonald's solution for the problem of cylindrical acoustic waves diffracted by a wedge. We consider this approach, since special cases of wedges include semi‐infinite cracks. The finite crack is assembled by superimposing the effects of two semi‐infinite cracks. The new solution is obtained by taking into account diffracted waves generated at the edges travelling along the faces of the crack. Repeated wave fields that result from fitting the two cracks are removed. Comparisons with the results obtained with the Indirect Boundary Element Method (IBEM) are shown. Both frequency and time domain cases are included.