Quasi-Bifurcation of Rods Within an Axial Plastic Compressive Wave

[+] Author and Article Information
L. H. N. Lee

Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Ind.

J. Appl. Mech 45(1), 100-104 (Mar 01, 1978) (5 pages) doi:10.1115/1.3424209 History: Received July 01, 1976; Revised September 01, 1977; Online July 12, 2010


A quasi-bifurcation criterion for determining certain infinitesimal disturbances which may amplify with time in an elastic-plastic body subject to prescribed initial, kinematic and time-dependent traction boundary conditions is employed to explain the onset of buckling of rods by axial impact. The experimental results of Abrahamson and Goodier indicate that rods impacting a rigid target at velocities sufficient to produce finite axial strains are found to buckle plastically with fairly reproducible final buckling modes. The predicted quasi-bifurcation modes at the onset of instability are in qualitative agreement with the observed final buckling modes.

Copyright © 1978 by ASME
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