Stress and Velocity Fields in the Gravity Flow of Bulk Solids

Abstract

This paper presents the mathematical theory of stress and velocity fields for the steady gravity flow of bulk solids in converging channels. The basic equations based on the concepts of soil mechanics and plasticity are presented along with the appropriate boundary conditions. A simplified stress field (called the “radial stress field” by Jenike), compatible with straight-walled converging channels, is shown by calculated and experimental evidence to approximate closely the physical stress fields occurring in the deforming portions of the solid in plane-strain and axisymmetric straight-walled converging channels.