2021-04-162017-01-01157316269298215WOS;000394273200006SCOPUS;2-s2.0-85001863220http://hdl.handle.net/10784/29192The problem of diffraction of cylindrical and plane horizontally polarized shear waves (SH waves) by a finite crack embedded in a plane bidimensional elastic full-space is revisited. Particularly, we construct an approximate solution by the addition of independent diffracted terms. In our method the derivation of the fundamental case of a semi-infinite crack obtained as a degenerate case of a generalized wedge is first considered. This result is then used as a building block to compute the diffraction of the main incident waves. The interaction between the opposite edges of the crack is later considered in terms of a series, one term at a time until a desired tolerance is reached. Moreover, we propose a procedure to determine the number of required interactions as a function of frequency. The solution derived with the superposition technique is shown to be effective at low and high frequencies and as shown by comparisons with a direct boundary element method software, highly accurate solutions are obtained after retaining just a few terms of the infinite series. © 2017, Institute of Geophysics of the ASCR, v.v.i.enghttps://v2.sherpa.ac.uk/id/publication/issn/0039-3169info:eu-repo/semantics/articleboundary element methodfrequency analysisSH-wavewave diffractionwave propagationwave scattering2021-04-16Valencia, C.Gomez, J.Jaramillo, J.Saenz, M.Vergara, J.10.1007/s11200-016-0858-9