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Ítem Efficient solution for the diffraction of elastic SH waves by a wedge: Performance of various exact, asymptotic and simplified solutions(Elsevier Ltd, 2017-04-01) Aristizabal, V.H.; Velez, F.J.; Jaramillo, J.D.; Mecánica AplicadaThe diffraction of horizontally polarized shear waves by a semi-infinite wedge in frequency and time domains is studied. In particular, this work focus on the performance of different solutions, including the classical contributions from Macdonald, Sommerfeld and Kouyoumjian & Pathak. In addition, two fully analytical, simplified solutions are proposed using arguments from the so-called geometrical theory of diffraction. The main advantage of the two proposed solutions is the fact that the resulting solutions can be scaled to problems with arbitrary and complex geometries. Moreover, it is found that one of the proposed new solutions is highly efficient in terms of accuracy and computational speed as compared to alternative formulations (approximately 1000 times faster than the Macdonald and Kouyoumjian & Pathak solutions), thus, this important characteristic renders this solution ideal for implementation in GPUs (Graphics Processor Units) for multiscale modeling applications. © 2017 Elsevier LtdÍtem Local generation of love surface waves at the edge of a 2D alluvial valley(Seismological Society of America, 2018-08-01) Molina-Villegas, J.C.; Jaramillo-Fernández, J.D.; Piña-Flores, J.; Sánchez-Sesma, F.J.; Mecánica AplicadaThis work deals with the local generation of Love surface waves at the edge of an alluvial valley that is formed by a soft layer with dipping interface. These waves are extracted from the system response due to the incidence of antiplane SH plane waves. The indirect boundary-element method (IBEM) is used for computations. Results are given as modal emission spectra of Love waves, as functions of frequency, for the fundamental mode and the first two harmonics for various combinations of incidence angles, interface geometries, and impedance ratios. The structure of these emission spectra is inspired by the analytical solution of the canonical antiplane problem of a semi-infinite layer with a moving base and wall, which allows indication of the 1D response and the locally generated surface waves. © 2018, Seismological Society of America. All rights reserved.