Plastic Flow of Rock Under a Pointed Punch in Plane Strain

[+] Author and Article Information
P. R. Paslay

Brown University, Providence, R. I.

J. B. Cheatham

Rice University, Houston, Texas

C. W. G. Fulcher

General Electric Company, Houston, Texas

J. Appl. Mech 35(1), 95-101 (Mar 01, 1968) (7 pages) doi:10.1115/1.3601180 History: Received April 07, 1967; Revised July 28, 1967; Online September 14, 2011


Solutions are presented for the plane-strain plastic flow of rock under a pointed punch for two cases. In the first problem the indentation of a half space by a pointed punch is considered, and in the second the influence of a previous indentation on the formation of the next indentation is evaluated. The plasticity theory used in this analysis was developed by the authors earlier for rock mechanics applications. This theory incorporates a yield surface which is dependent on the mean normal stress and normality of the deformation rate vector to the yield surface. Work-hardening and elastic strains are neglected in the theory. These solutions furnish the analytical basis for some elementary experiments which may help to evaluate the theory.

Copyright © 1968 by ASME
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