The problem of construction the fundamental solutions for a piecewise-homogeneous transversely isotropic space is reduced to matrix Riemann in slowly increasing distributions. We propose method solution this problem. As result, explicit form, we obtain expressions components vector and simple representations stress tensor displacements plane joint elastic half spaces subjected action concentrat...

Many biological materials such as cervical mucus and collagen gel possess a fibrous micro-structure. This micro-structure affects the emergent mechanical properties of material, hence functional behaviour system. We consider canonical problem stretching thin sheet transversely-isotropic viscous fluid simplified version spinnbarkeit test for mucus. propose novel solution to model constructed by ...

In the present paper, the Zelt algorithm has been extended for ray tracing through an anisotropic model. In anisotropic media, the direction of the propagated energy generally differs from that of the plane-wave propagation. This makes velocity values to be varied in different directions. Therefore, velocity modeling in such media is completely different from that in an isotropic media. The vel...

For the case of distinct eigenvalues of the left Cauchy-Green tensor universal relations for a transversely isotropic elastic material are expressed in a compact form. Also, two new universal relations are derived for an incompressible transversely isotropic elastic material. Key Wolds: universal manifold, incompressible materials, simple shear, annular wedge 1. INTRODUcnON A universal relation...

Using acoustic logging data, we develop a method of estimating the horizontal shear modulus C66) of a transversely isotropic formation with its axis of symmetry parallel to that of the borehole. The data for the inversion are the wavenumbers, at every frequency, of the guided waves. The inversion minimizes the difference between these observed wavenumbers and those calculated by a forward model...

This paper considers an inverse problem for a transversely isotropic 3D acoustic medium where there is one preferred direction called the fiber direction along which the wave propagates fastest and there is no preferred wave propagation direction in the isotropic plane, that is the plane orthogonal to the fiber direction. In this medium the parameters to be recovered are: (1) the wave speed for...