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Closed-form integration of singular terms for constant, linear and quadratic bo...

Tadeu, A. J. B.; Santos, P. F. A.; Kausel, E.

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 w...


Closed-form integration of singular terms for constant, linear and quadratic bo...

Tadeu, A. J. B.; Santos, P. F. A.; Kausel, E.

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 el...


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