Material ratchetting of beam under steady axial load and cyclic bending

Abstract

The purpose of this paper is to extend the applicability of the complete differential elasto‐plastic constitutive equations of the endochronic theory to describe the material ratchetting of a beam under a steady axial load and cyclic bending. Based on the assumption of the linear distribution of the through‐thickness strain of a beam under cyclic bending, the stress‐strain behavior of each through‐thickness point can be found theoretically. Experimental data of a lead alloy under a steady axial load and cyclic bending from Hyde et al. are used for comparison with theoretical predictions. It is shown that the theoretical results are in agreement with the experimental data.