Examinando por Autor "Aristizabal, V.H."

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    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 Aplicada
    The 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 Ltd
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    On the generation of homogeneous, inhomogeneous and Goodier-Bishop elastic waves from the geometrical ray theory
    (Asian Research Publishing Network, 2015-01-01) Aristizabal, V.H.; Jaramillo, J.D.; Mecánica Aplicada
    In this paper, a new group of exact and asymptotic analytical solutions of the displacement equation in a homogeneous elastic media, considering the most general solution of the Helmholtz equation, which have not been shown in papers and standard texts, are presented. Moreover, the authors show from the ray theory point of view the meaning of such solutions. These solutions could be helpful in future conceptual works about generation and emerging phenomena in elastic waves such as scattering and diffraction, among others, specifically in the analysis of the boundary conditions. Here, new kinds of P-S body waves that oscillate elliptically and propagate outward from sources in a full-space are found where, as special cases, the grazing longitudinal (Py) and transversal (SVy) waves of the Goodier-Bishop type, the analytic expressions for the Rayleigh wave and surface P waves, for which the amplitude decays from sources, are obtained. Also, the standard expressions for the homogeneous plane wavefronts, surface P waves, and Rayleigh surface waves, are achieved. © 2006-2015 Asian Research Publishing Network (ARPN).