“…There is a long controversy whether the bainitic transformation kinetics should be described by a diffusion-controlled model or a diffusionless (autocatalytic-nucleation controlled) model, see [ 22 ] and references therein. According to the controversy different models exist, which describe the (stress and pre-strain free) austenite to bainite transformation [ 14 , 23 , 24 , 25 , 26 ]. Various kinetic models exist [ 9 , 27 , 28 , 29 ], which use mean-field descriptions of free energies of austenite and bainitic ferrite, with or without the contribution of mechanical energy, which is formulated as the product between the stress and the “shape strain”.…”