A new concept was proposed for the calculation of the mobile dislocation density in constitutive models. Unlike earlier approaches, this method did not use rate equations to calculate the evolution of the mobile dislocation density, but was instead based upon minimization of the flow stress in each increment. When compared to methods which used a constant value for the mobile dislocation density, the new method resulted in a more realistic stress-strain relationship; especially when applied to strain rate-change experiments.

A New Concept for the Calculation of the Mobile Dislocation Density in Constitutive Models of Strain Hardening. F.Roters: Physica Status Solidi B, 2003, 240[1], 81-90