Dislocation-based analysis and state variable representation of cyclic plasticity experiments

Abstract

A general relationship between the phenomenological state variables, back stress and drag stress, and the microstructural variables, mobile and immobile dislocation densities of plasticity, in the dynamic state, is developed from first principles. The proposed relationships are experimentally verified by conducting continuous real time measurements of phenomenological state variables and subsequent measurement of microstructural variables during room temperature cyclic plastic deformation at different strain intervals and strain rates. This has resulted in a better qualitative and quantitative understanding of the relationship between the microstructural variables and phenomenological variables of plasticity.