Dynamic Flexural Buckling of Rods Within an Axial Plastic Compression Wave

[+] Author and Article Information
G. R. Abrahamson

Explosives Engineering, Poulter Research Laboratories, Stanford Research Institute, Menlo Park, Calif.

J. N. Goodier

Stanford University; Stanford Research Institute, Menlo Park, Calif.

J. Appl. Mech 33(2), 241-247 (Jun 01, 1966) (7 pages) doi:10.1115/1.3625033 History: Received April 07, 1965; Online September 15, 2011


Rods impacting a rigid target at velocities sufficient to produce several percent axial strain are found to buckle plastically with a fairly reproducible wavelength. This phenomenon is investigated for materials which exhibit strain-hardening, a property which is crucial to the theory. The buckling motion is treated as a perturbation of the motion associated with the axial compression. It is assumed that the axial strain rate dominates the extensional strain rate due to bending, so that no strain-rate reversal occurs until after the buckling is well developed. Elastic deformations are neglected, and the material is taken to follow a linear strain-hardening law. It is found that the predicted wavelength and buckling time are in reasonable agreement with experimental results.

Copyright © 1966 by ASME
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