Continuum Foundations of Endochronic Plasticity

Abstract

In this paper a number of issues are addressed. The proper measure of intrinsic time is shown to be the norm of the increment of the plastic strain tensor, if the memory path is a line in the cojoint stress-strain space and elasticity at reversal points is stipulated. The convexity of the kernel function suffices to show that a periodic plastic strain history will give rise to a periodic stress history—as is observed. Standard tests are then established for the unequivocal experimental determination of the kernel and hardening function, valid for use in general three-dimensional histories.