We have considered a semi-infinite crack embedded in a transversely isotropic medium and studied two special cases, one, in which the axis of symmetry is normal to the crack face and the wave incidence is arbitrary and another, in which the axis lies in the crack plane normal to the edge and the incident wave vector is also normal to the edge. The problem is of interest in Non-Destructive Evalu...

Two spatial, one axisymmetric and two plane contact problems are considered for a transversely isotropic elastic layer with face subjected to sliding support. In the spatial problems, planes of isotropy may be either parallel or perpendicular faces. case axial symmetry, By using Fourier integral transforms, reduced equations respect pressure, limiting cases which well-known corresponding an lay...

This paper considers the scattering of an in nite plane acoustic wave from a long immersed, solid, transversely isotropic cylinder. The mathematical model which has already been developed for this problem does not work in the case of a normally incident wave. Modi cations to the mathematical model are proposed in order to make it applicable to all incidence angles, including = 0. Numerical resu...

I develop an implicit finite-difference migration method for vertical transversely isotropic (VTI) media with laterally varying anisotropy parameters. I approximate the dispersion relation of VTI media with a rational function series, the coefficients of which are estimated by least-squares optimization. These coefficients are functions of Thomsen anisotropy parameters. They are calculated and ...