Statistical Evaluation of Some Hot Rolling Theories

Abstract

The accuracy and precision of four mathematial models of varying complexity are evaluated by comparing their predictions to experimental data generated in carefully controlled laboratory experiments and to production logs obtained from the finishing trains of several Canadian, American, and European hot strip mills. The materials rolled are low carbon and HSLA steels; the models used are Orowan’s formulation with Shida’s flow strength and Ford and Alexander’s formulation with Shida’s flow strength; then both these formulations are combined with Ekelund’s flow strength equation. It is concluded that Orowan’s formulation with Shida’s flow strength relation is the most consistently accurate technique of analysis. Further, the behavior of HSLA steels is not well described by either Shida’s or Ekelund’s equations.