Limit Plasticity Approach to Piping in Bins

[+] Author and Article Information
A. Drescher

Department of Civil and Mineral Engineering, University of Minnesota, Minneapolis, Minn. 55455

J. Appl. Mech 50(3), 549-553 (Sep 01, 1983) (5 pages) doi:10.1115/1.3167089 History: Received October 01, 1982; Online July 21, 2009


The plastic limit analysis method is adopted to derive a criterion for piping in particulate solids discharged from prismatic and cylindrical bins. Plane, rectangular, and circular cross sections of empty channels (pipes) are considered. Utilizing the kinematic approach, various mechanisms of failure of the material surrounding an empty channel are discussed. The geometry of a stable channel is related to the material strength parameters c and φ, specific weight γ, and geometry of the bin; safe estimate to the piping criterion is given.

Copyright © 1983 by ASME
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