Scattering Of 3D Acoustic Waves By Cracks Using Two Different Boundary Elements Formulations
Price
Free (open access)
Transaction
Volume
37
Pages
10
Published
2004
Size
697 kb
Paper DOI
10.2495/BE040421
Copyright
WIT Press
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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