I am looking for equations that allows to determine the volumetric fraction of ferrite, bainite and martensite according to austenitization temperature, cooling rate and temperature up towhich the material has been cooled (or overcooling T).
you could also take micrograph image by Optical microscope and analize it visualy with imageJ
I am not sure whether there is a rule of thumb for calculating volumetric fractions or not, but you may use JMatPro software. "Advanced CCT" module can estimate Ferrite, Pearlite, Bainite and Martensite fractions depending on composition, austenitization temperature, grain size and cooling regime.
Also, I agree with Mr. Cassinerio, image processing is a good solution after color etching.
I support Mr Emre Alan's idea. In JMatPro you can simulate the phase composition of steel after continuous cooling. In addition, the "Quench Properties" module allows you to simulate variants with varying cooling rates. Yesterday I was teaching students about it.
And when it comes to equations, so many factors come into play here that it is tough to create a universal metaequation. Therefore, in computer simulations, you must remember that they are only predictions.
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