Strain-Rate Effects in the Dynamic Buckling of a Simple Elastic-Plastic Model

[+] Author and Article Information
D. Karagiozova

Bulgarian Academy of Sciences, Institute of Mechanics, Acad. G. Bonchev Str., Bl. 4, 1113 Sofia, Bulgaria

N. Jones

Impact Research Centre, Department of Mechanical Engineering, The University of Liverpool, Liverpool L69 3GH, U.K.

J. Appl. Mech 64(1), 193-200 (Mar 01, 1997) (8 pages) doi:10.1115/1.2787272 History: Received August 14, 1995; Revised October 31, 1995; Online October 25, 2007


The phenomenon of dynamic buckling is examined when the influence of material strain-rate sensitivity is retained in the basic equations for a simple elastic-plastic model with linear strain hardening when subjected to an impact by a mass. Two approaches are proposed for taking into account the material strain-rate effects and both use the Cowper-Symonds constitutive equation. The critical impact velocities depend on the impact mass and are determined for a wholly elastic material, a strain-rate insensitive elastic-plastic material and an elastic-plastic material with a dynamic yield force together with linear or nonlinear hardening due to the strain-rate effects. The results obtained show that both strain-rate sensitive models predict impact velocities which are higher than those predicted by the strain-rate insensitive idealization and that the influence of any initial imperfections is important for the three material models considered.

Copyright © 1997 by The American Society of Mechanical Engineers
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