Abstract
In recent years, the carbon fiber reinforced plastic (CFRP) and austenitic steel have attractive attention in many engineering fields. Therefore, it is desirable to develop an accurate reconstruc- tion method for defects in such anisotropic materials. In this paper, a linearized inverse scattering technique has been developed for the reconstruction of a crack in anisotropic materials. A far-field approximation of a traction fundamental solution for 2-D pure anti-plane anisotropic elastody- namics is derived by using the stationary phase method, and its accuracy is verified. The inverse scattering with the Kirchhoff inversion is applied to a crack in general anisotropic elastic solids. The scattered wave forms used in this inverse scattering technique are calculated by the convolution quadrature boundary element method (CQBEM) which can produce stable numerical solutions better than conventional time-domain BEM. The scattered wave forms in time-domain are trans- formed into those in frequency-domain in order to apply them to the inverse scattering analysis. Numerical results show that the proposed inverse scattering technique with the aid of the CQBEM can properly reconstruct the image of a crack in the uni-directional CFRP and austenitic steel.
