Anisotropic Elasticity for Soils: A Synthesis of Some Key Issues

Abstract

: Traditionally, the elastic response of soils has been assumed to be isotropic. Natural soils are, however, more likely to exhibit anisotropic response. For example, sedimentary soils, which are typically deposited under gravity, possess different properties in the direction of deposition as opposed to the planes normal to this direction. This paper synthesizes several key issues related to anisotropic elastic material idealizations for soils. Emphasis is placed on transversely isotropic (“cross-anisotropic”) elastic material idealizations. Abstract: The computational (numerical) diameter is used to completely solve the problem of approximate differentiation of a function given inexact information in the form of an arbitrary finite set of trigonometric Fourier coefficients. [100-200 words]