Impact of a Nonlinear Viscoplastic Rod on a Rigid Wall

[+] Author and Article Information
T. C. E. Ting

Materials Engineering, University of Illinois, Chicago, Ill.

J. Appl. Mech 33(3), 505-513 (Sep 01, 1966) (9 pages) doi:10.1115/1.3625115 History: Received June 15, 1965; Revised December 02, 1965; Online September 15, 2011


Barenblatt and Ishlinskii [5] considered the impact of a viscoplastic rod on a rigid wall in which the relation between stress and strain rate is linear. In this paper, their analysis is generalized to a power-law relation between stress and strain rate so that their results may be reduced as a special case. Some strikingly different behaviors are observed between linear viscoplastic materials and nonlinear viscoplastic materials. Comparisons are also made between the viscoplastic solution obtained here with the rate-independent, rigid-plastic solution by Lee and Tapper [2]. It is shown that the curves which represent the residual strains versus the axial length along the rod are concave upward for all viscoplastic rods. For the rate-independent, rigid-plastic rods, on the other hand, they are concave downward.

Copyright © 1966 by ASME
Topics: Stress , Rods
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