WIT Press


Scattering Of 3D Acoustic Waves By Cracks Using Two Different Boundary Elements Formulations

Price

Free (open access)

Paper DOI

10.2495/BE040421

Volume

37

Pages

10

Published

2004

Size

697 kb

Author(s)

P. Amado Mendes, A. Tadeu & J. António

Abstract

Two different Boundary Elements formulations are used to compute the threedimensional (3D) scattering of acoustic waves by two-dimensional (2D) cracks, which may be either empty or filled. The first is the Traction Boundary Element Method (TBEM), and the second is a mixed formulation involving both the TBEM and the Boundary Element Method (BEM). These models overcome the thin body difficulty for which the conventional direct BEM degenerates. Both formulations can be used to solve the case of an empty crack, while the mixed formulation finds the solution of a filled crack. The two models are formulated in the frequency domain. Because of the 2-1/2D geometry of the problem, the solution at each frequency is expressed in terms of waves with the varying wavenumber in the z direction, z k . All i

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