Instability of a Transversely Isotropic Elastic Strip under Tension

An Infinite Slab of Isotropic, Transversely Inhomogenous Elastic Matfrial Subjected to Tension

Wave propagation in a transversely isotropic microstretch elastic solid

Background: The theory of microstretch elastic bodies was first developed by Eringen (1971, 1990, 1999, 2004). This theory was developed by extending the theory of micropolar elastcity. Each material point in this theory has three deformable directors. Methods: The governing equations of a transversely isotropic microstretch material are specialized in x-z plane. Plane wave solutions of these g...

Estimating the Elastic Moduli of Transversely Isotropic Formations

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...

Additional Universal Relations for Transversely Isotropic Elastic Materials

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...

Dynamic and Static Green's Functions in Transversely Isotropic Elastic Media

Concise and numerically feasible dynamic and static Green's functions are obtained in dyadic form by solving the wave equation and the equilibrium equation with general source distribution in transversely isotropic (TI) media. The wave and equilibrium equations are solved by using an extended version of the Kupradze method originally developed for isotropic media. The dynamic Green's function i...