Plastic Waves of Combined Stresses Due to Longitudinal Impact of a Pretorqued Tube, Part 1: Experimental Results,"

The strain-time profiles of the experiments described in Part 1 are compared with numerical solutions based on a rate-independent theory for an isotropic work-hardening, elastic-plastic material. As Comparison With a Rate-Independent Theory I HE results of three experiments of the type reported in Part 1 [l] 4 are compared with the predictions of a rate-independent theory in Figs. 1-6. These three experiments show the effects of using three different impact velocities with approximate!}' the same initial torque. The computed results are obtained by numerical integration of the ordinary differential equations governing simple waves for an isotropic hardening material which satisfies the von Mises yield criterion (i.e., equations A solution which satisfies the initial and boundary conditions is obtained in two steps. First, a fast simple wave solution is computed for which the stress trajectory passes through the initial state of prestress. Then, slow simple wave solutions are computed starting at various points along the fast simple wave stress trajectory until that point is found for which the slow simple wave particle velocity trajectory passes through the point (wo, Vo) corresponding to the constant velocities at the transmitter-specimen interface. Comparisons of strain-time profiles (during loading only) are presented in Journal of Applied Mechanic