A Simple Mathematical Model for Establishing Isothermal Transformation Kinetics from Continuous Cooling Data

Abstract

A simple mathematical model for establishing isothermal transformation kinetics from continuous cooling transformation data is presented. A new regression function of k, which is a reaction parameter of the Johnson-Mehl-Avrami equation is proposed. The isothermal transformation kinetics of austenite-pearlite transformation in a eutectoid steel is converted from continuous cooling transformation data using the regression function in combination with the inverse additivity rule. The converted isothermal transformation kinetics excellently agrees with experimental results irrespective of temperature, showing a big improvement compared with a previous model.

Keywords: phase transformations, kinetics, steels, modeling, inverse additivity rule