Estudo Geralhttps://estudogeral.sib.uc.ptThe DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Sat, 27 Nov 2021 08:24:09 GMT2021-11-27T08:24:09Z5021Closed-form integration of singular terms for constant, linear and quadratic boundary elements. Part 1. SH wave propagationhttp://hdl.handle.net/10316/4047Title: Closed-form integration of singular terms for constant, linear and quadratic boundary elements. Part 1. SH wave propagation
Authors: Tadeu, A. J. B.; Santos, P. F. A.; Kausel, E.
Abstract: One of the most important aspects in the application of boundary element techniques to wave propagation problems is the accurate representation of the singular terms at the points of application of the virtual loads. It is current practice to carry out this task by means of numerical quadrature. This paper presents an analytical evaluation of the singular integrals for constant, linear and quadratic boundary elements involving SH waves, the results of which are then used to model inclusions in a two-dimensional acoustic medium illuminated by dynamic anti-plane line sources. Finally, the BEM results are compared with the known analytical solutions for cylindrical inclusions.
Fri, 01 Jan 1999 00:00:00 GMThttp://hdl.handle.net/10316/40471999-01-01T00:00:00ZClosed-form integration of singular terms for constant, linear and quadratic boundary elements. Part 2. SV-P wave propagationhttp://hdl.handle.net/10316/4046Title: Closed-form integration of singular terms for constant, linear and quadratic boundary elements. Part 2. SV-P wave propagation
Authors: Tadeu, A. J. B.; Santos, P. F. A.; Kausel, E.
Abstract: Part I of these two related papers considered the analytical evaluation of singular integrals for anti-plane boundary elements, the results of which were then applied to the evaluation of scattering problems involving SH waves. This second part provides an extension of these results to the more complicated case of in-plane boundary elements, and presents their application to scattering problems involving SV-P waves. First, the singular integrals for constant, linear and quadratic boundary elements are evaluated a in closed form. Thereafter, the formulation is used to model cylindrical inclusions in a two-dimensional elastic medium illuminated by dynamic in-plane (plane-strain) line sources. The boundary element method (BEM) results are then compared with the known analytical solutions for these problems.
Fri, 01 Jan 1999 00:00:00 GMThttp://hdl.handle.net/10316/40461999-01-01T00:00:00Z