Singular Fields in Plane-Strain Penetration

[+] Author and Article Information
David Durban, Omri Rand

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

J. Appl. Mech 58(4), 910-915 (Dec 01, 1991) (6 pages) doi:10.1115/1.2897707 History: Received February 06, 1990; Revised May 31, 1990; Online March 31, 2008


Local singular fields are investigated in the vicinity of the vertex of a sharp wedge that penetrates a viscous solid. Material behavior is modeled by the usual powerlaw constitutive relation. Wall friction is accounted for by imposing friction factors along the walls of the wedge. The case of a Newtonian fluid is investigated analytically, and sample numerical results are presented for nonlinear strain rate hardening. It is shown that the exponent of strain rate singularity increases as the wedge becomes sharper and smoother. Increasing the hardening parameter also results in a stronger strain rate singularity. High levels of wall friction induce an intensive shear boundary layer near the wall.

Copyright © 1991 by The American Society of Mechanical Engineers
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