Stress and Velocity Fields in the Gravity Flow of Bulk Solids

[+] Author and Article Information
J. R. Johanson

Mechanisms Division, Applied Research Laboratory, United States Steel Corporation, Monroeville, Pa.

J. Appl. Mech 31(3), 499-506 (Sep 01, 1964) (8 pages) doi:10.1115/1.3629668 History: Received May 20, 1963; Revised October 28, 1963; Online September 15, 2011


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.

Copyright © 1964 by ASME
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