Histories of stress, strain-rate, temperature, and spin in steady state deformations of a thermoviscoplastic rod striking a hemispherical rigid cavity

Abstract

Given the velocity field and the values of a field variable ƒ at a large number of discrete points in a bounded 2-dimensional domain, an algorithm has been developed to compute the streamline that passes through a desired point P in the domain, and the time histories of ƒ at the material particle starting from the instant it occupied the point P. Time histories of the effective stress, second invariant of the strain-rate tensor, temperature and the spin for a few material particles in the steady state axisymmetric deformations of a thermoviscoplastic rod striking a rigid hemispherical cavity are presented. This information should help develop appropriate constitutive models for the penetrator material and establish desirable testing regimes for practical problems.