Author(s): P. Amado Mendes & A. Tadeu
The 3D wave propagation in solid media containing 2D cracks is modelled in the
frequency domain by developing a Traction Boundary Element Method
The proposed formulation makes it possible to model thin bodies for
which the classical Boundary Element Method (BEM) degenerates.
algorithm developed simulates wave propagation in the presence of empty cracks
(even with no thickness) with arbitrary geometry and orientation.
hyper-singular integrals are evaluated analytically.
Once the TBEM has been implemented, the solutions are verified by solving
the case of an empty circular inclusion, for which analytical solutions exist.
Combining the BEM and the TBEM formulations allows the computation of
displacements in the opposite sides of the crack.
Time responses of the wave field scattered by an S-shaped empty crack in an
unbounded medium are computed using complex frequencies in order to avoid
The main wave propagation features are illustrated by
snapshots of computer animations.
The effect of these complex frequencies is
removed in the time domain by rescaling the responses using an exponential
wave propagation, elastic scattering, empty cracks, Boundary
Element Method, Traction Boundary Element Method, two-and-a-halfdimensional
Different scientific formulations have been developed to study the elastic and
acoustic wave scattering by inclusions and thin heterogeneities.
analytical approaches (e.g.
Pao & Mow ) are only known for simple and
Size: 668 kb
Paper DOI: 10.2495/BE050361
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This paper can be found in the following bookBoundary Elements XXVII: Incorporating Electrical Engineering and Electromagnetics Buy