This article is cited in 20 papers

A Transversally Isotropic Elastic Model of Geomaterials

B. D. Annin

M. A. Lavrent'ev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We study the choice of parameters in a transversally isotropic elastic model describing linear deformation of the geomaterials, as well as the analytical and numerical methods for solving the corresponding dynamic equations.

Keywords: linear elasticity, transversally isotropic medium, Lamé equations, Gassman condition, Friedrichs $t$-hyperbolicity.

UDC: 539.3

Received: 22.07.2009

 English version: Journal of Applied and Industrial Mathematics, 2010, 4:3, 299–308