Accession Number:

AD0659971

Title:

UNLOADING WAVES FOR COMBINED LONGITUDINAL AND TORSIONAL PLASTIC WAVES

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF ENGINEERING

Personal Author(s):

Report Date:

1967-09-01

Pagination or Media Count:

20.0

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.

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE