The scattering of elastic waves by a rectangular crack in a half-space of arbitrary anisotropy is considered. The application in mind is ultrasonic testing of thick-walled anisotropic components where the crack is close to a planar back surface. The orientation of the crack and the back surface may
Direct 3D BEM for scattering of elastic waves in a homogeneous anisotropic half-space
β Scribed by Yuqing Niu; Marijan Dravinski
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 158 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0165-2125
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β¦ Synopsis
A direct 3D time-harmonic boundary element method is applied to determine the elastic response of a cavity of arbitrary shape embedded within a 3D homogeneous triclinic half-space. The boundary integral equations for scattered wave field are used in the boundary element method (BEM). Because of the full-space fundamental solutions in the formulation, the traction-free conditions on the half-space surface must be imposed separately. Numerical testing is performed for a 3D isotropic case in order to obtain the size of the half-space discretization surface that ensures the accuracy of the results. Applications are discussed for scattering of elastic waves by a semispherical canyon. The results show that the anisotropic response strongly depends on the incident wave, the material anisotropy and the location of the observation points.
π SIMILAR VOLUMES
## Abstract In this article the analytic and asymptotic properties of the resolvent for elastic waves in a three dimensional domain perturbed from the isotropic half space **R**^3^~+~ are studied. In this case, the asymptotic expansion of the resolvent at the origin has logarithmic terms. This prop