UNLOADING WAVES FOR COMBINED LONGITUDINAL AND TORSIONAL PLASTIC WAVES
Abstract
Assuming a one-dimensional rate independent theory of combined longitudinal and torsional plastic wave propagation in a thin-walled tube, it is shown that the velocity of unloading waves, c sub u, must satisfy either c sub s < c sub u < c sub 2 or c sub f < c sub u < c sub o where c sub s and c sub f are respectively the velocities of slow and fast plastic waves of combined stress. c sub 2 and c sub o are respectively the elastic shear wave speed and the elastic bar velocity. It is also shown that the velocity of loading waves (moving elastic-plastic boundaries across which loading takes place), c sub l, must satisfy c sub l < c sub s or c sub 2 < c sub l < c sub f or c sub o < c sub l. The general features of the discontinuities associated with each type of loading and unloading wave are established, and examples are presented of unloading waves overtaking simple waves.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1967
- Accession Number
- AD0659971
Entities
People
- R. J. Clifton
Organizations
- Brown University