It is well known that JMAK and Austin-Rickett equations can be used for modelling the phase transformations in steels. Are there any other suitable equations or distribution laws?
Very interesting question.
I have another one: would be possible to apply the same set of equation to modelling Ti phase ttransformation?
If you've got experimental results on kinetics of transformation in Ti alloys, we could try to simulate them using various models.
I work with phase transition, howewer, my focus is to study such phenomena by synchrotron x-ray diffraction. How would be possible to simulate these transformations? (I mean, softwares and so on).
If we know the law of phase change kinetics, we can use any mathematics or statistic software such as mathlab, origin, even excel. But first of all we need to establish the law. I can look on your data, may be I can help.
Please take a look at the Kirkaldy-Venugopalan phase-transformation model for low alloyed steels.
Dear Rafael, in case of titanium alloys modelling of phase transformations during heat treatment is also possible. It is implemented in some commercial products. The main difference from steels is in the dramatic dependence of the grain size versus the heating temperature. It can be modelled in many ways, but another problem arises here: you need some thermo-mechanical treatment to obtain a good level of product properties. As far as I know, thermo-mechanical treatment modelling for predicting microstructure and properties is not perfect, because too many processes are involved and we do not know the correct laws of their coupling.
Dear Mikhail!
Do you have any thoughts concerning Kirkaldy-Venugopalan model, which was mentioned above?
You can find the detailed model in the following reference:
J.S.Kirkaldy and D.Venugopalan in “Phase Transformations in Ferrous Alloys”, ed. A.R.Marder and J.I.Goldenstein, (AIME, New York) (1984), pp 125-148
Very interesting that there is no journal publication concerning Kirkaldy-Venugopalan model formulation, but a lot of citings of this book (conference proceedings, not available on any scientific site). Of course, may be I'm poor in searching.
I am looser in searching this paper also. May be it has a DOI or something, hasn't it?
This is all that I've found
http://www.amazon.com/Phase-Transformations-Ferrous-Alloys-Marder/dp/0895204819
The Kirkaldy-Venugopalan model is a great and useful work, of course, but it is just another one semiempirical formulation dealing with a lot of fitting coefficients, as Leblond model etc. And the prediction results are not very good because of the limitations.
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