Quasi-Bifurcation of Rods Within an Axial Plastic Compressive Wave
- 1 March 1978
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 45 (1) , 100-104
- https://doi.org/10.1115/1.3424209
Abstract
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.Keywords
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