UNLOADING WAVES FOR COMBINED LONGITUDINAL AND TORSIONAL PLASTIC WAVES
BROWN UNIV PROVIDENCE RI DIV OF ENGINEERING
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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.