Singular Plastic Fields in Steady Penetration of a Rigid Cone

[+] Author and Article Information
David Durban

Technion—Israel Institute of Technology, Haifa 32000, Israel

Norman A. Fleck

Department of Engineering, Cambridge University, Cambridge CB2 1PZ, U.K.

J. Appl. Mech 59(4), 706-710 (Dec 01, 1992) (5 pages) doi:10.1115/1.2894032 History: Received September 24, 1990; Revised July 22, 1991; Online March 31, 2008


The essential features of the active plastic zone at the tip of a penetrating rigid cone are investigated for a rigid/perfectly plastic solid. An exact solution is suggested for the plastic zone. A rigid zone exists ahead of the cone and is separated from the plastic zone by a conical surface of discontinuity. It is assumed that the material yields instantaneously by going through a “shear shock” across the rigid/plastic interface. The orientation of the interface is determined by an ad hoc requirement for minimum shear strain jump at the shear shock. Results are presented for different cone angles and friction factors. The stresses within the plastic zone admit a logarithmic singularity whose level increases with cone angle and wall friction.

Copyright © 1992 by The American Society of Mechanical Engineers
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