The parameters of orthotropic sand fabric

Abstract

The description based on the microscopic theory of sand fabric, the novel amplitude parameters decrypting the spatial arrangement of non-spherical particles is defined, and the verification with the microscopic test for Toyoura sand is conducted. The spatial arrangement of non-spherical particles form the orthotropic of sand which describe with two independent angle of the particles of the long axis direction in three orthogonal directions component, one define three expressions of amplitude parameters on orthotropic plane. This expression is used to describe sand properties of orthotropic, transverse isotropic and isotropic. Experimental results show three amplitude parameters with a clear physical meaning can reflect the variation of orthotropic.

The Non-coaxiality and Fabric Evolution of Granular Materials in Mixed Load and Unload on Deviatoric Plane

“…where the amplitude parameters for orthotropic fabric, 1  and 2  , are determined by Eqs. (8) and ( 9) respectively, and they are obtained by computer tomography (CT) and microscopic image analysis [40]. The fabric tensor satisfies ( )…”

“…The contact normal vector in three-dimensional space could be represented by two angles  and  shown the Figure 1 of the reference [40].…”