Steady Penetration of a Rigid Cone With a Rough Wall Into a Power-Law Viscous Solid

[+] Author and Article Information
N. A. Fleck

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

D. Durban

Faculty of Aerospace Engineering, Technion-Israel Institute of Technology, Haifa, 32000, Israel

J. Appl. Mech 58(4), 872-880 (Dec 01, 1991) (9 pages) doi:10.1115/1.2897700 History: Received August 24, 1989; Revised May 10, 1990; Online March 31, 2008


Singular strain rate and stress fields are examined at the tip of a rigid conical indentor penetrating an incompressible viscous solid. Attention is focused on friction effects induced by wall roughness. The problem is formulated within the usual framework of eigenvalue analysis of locally singular fields. Some special cases are investigated further with emphasis on a boundary layer expansion for the rigid/perfectly plastic solid sliding along the perfectly rough wall. It has been found that the level of singularity increases as the cone becomes sharper and the wall friction decreases. Numerical results, presented for a variety of cases, suggest a boundary layer build up for sharp cones with rough walls.

Copyright © 1991 by The American Society of Mechanical Engineers
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