A metastable phase diagram for the dynamic transformation of austenite at temperatures above the Ae 3 A method is proposed for calculation of the pseudobinary phase diagram associated with the dynamic transformation of austenite to ferrite. Here the driving force is taken as the difference between the austenite flow stress at the moment of initiation and the yield stress of the fresh Widmanstätten ferrite that takes its place. The energy opposing the transformation consists of the Gibbs energy difference between austenite and ferrite at temperatures above the Ae 3 and the work of accommodating the shear displacements and dilatation associated with the phase change. A metastable phase diagram is calculated for a 0.30 wt.% Mn-0.01 wt.% Si steel by balancing the driving force against the three obstacles. The results show that, under dynamic conditions, the ferrite phase field extends all the way from room temperature to that for the formation of delta ferrite.Keywords: Dynamic transformation; Austenite; Ferrite; Fe-C phase diagrams; Thermomechanical processing
IntroductionIn the early work on dynamic transformation (DT), it was shown that DT takes place at temperatures up to 166 8C above the Ae 3 [1, 2]. More recently, this temperature range has been extended to 1 350 8C, i. e. to 480 8C above the paraequilibrium Ae 3 [3,4]. The observation that Widmanstätten ferrite [4 -7] can be formed throughout the austenite phase field indicates that the conventional Fe-C phase diagram does not apply when austenite is being deformed. It is the aim of this paper to propose an approach for the derivation of phase diagrams that applies to 'dynamic' conditions and to provide an example of such a diagram for a particular steel.In order to deal with the effect of deformation on the phases present, three quantities must be evaluated that play particularly important roles, the first of which is totally absent under conventional 'static' conditions. In the latter case, the driving force is the free energy difference between the original and the replacement phase, the latter being of lower energy. In the dynamic case, however, the free energy difference is of opposite sign, so that it becomes a barrier to the transformation instead. Under these conditions, it is the flow stress difference between the work hardened austenite and the much softer ferrite that replaces it that provides the driving force [8,9].The other quantities are the work of dilatation and of shear accommodation [10]. Unlike the situation at ambient temperatures, at which these energies are stored elastically, the high temperature versions are not stored reversibly, but involve dissipation by means of plastic work. It is shown below how these three quantities can be evaluated over the experimental temperature range and expressed algebraically. These expressions can then be introduced into the Fe-C database of the FactSage thermodynamic software [11]. A metastable phase diagram is in turn generated employing the modified database and valid over the temperature range an...