Thermal-mechanical finite element simulation of flat bar rolling coupled with a stochastic model of microstructure evolution

Thermal-mechanical finite element simulation of flat bar rolling coupled with a stochastic model of microstructure evolution

Danuta Szeliga1, Natalia Czyżewska2, Jan Kusiak1, Roman Kuziak3, Paweł Morkisz2, Piotr Oprocha2, Maciej Pietrzyk1, Michał Piwowarczyk4, Łukasz Poloczek3, Paweł Przybyłowicz2, Łukasz Rauch1, Natalia Wolańska4

1AGH University of Science and Technology, Faculty of Metals Engineering and Industrial Computer Science, al. A. Mickiewicza 30, 30-059 Krakow, Poland.

2AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, Poland.

3Łukasiewicz Research Network, Institute for Ferrous Metallurgy, ul. K. Miarki 12, 44-100 Gliwice, Poland.

4CMC Poland, ul. Piłsudzkiego 82, 42-400 Zawiercie, Poland.



It is generally recognized that the kinetics of phase transformations during the cooling of steel products depends to a large extent on the state of the austenite after rolling. Austenite deformation (when recrystallization is not complete) and grain size have a strong influence on the nucleation and growth of low-temperature phases. Thus, the general objective of the present work was the formulation of a numerical model which simulates thermal, mechanical and microstructural phenomena during multipass hot rolling of flat bars. The simulation of flat bar rolling accounting for the evolution of a heterogeneous microstructure was the objective of the work. A conventional finite-element program was used to calculate the distribution of strains, stresses, and temperatures in the flat bar during rolling and during interpass times. The FE program was coupled with the stochastic model describing austenite microstructure evolution. In this model, the random character of the recrystallization was accounted for. Simulations supplied information about the distributions of the dislocation density and the grain size at various locations through the thickness of the bars.

Cite as:

Szeliga, D., Czyżewska, N., Kusiak, J., Kuziak, R., Morkisz, P., Oprocha, P., Pietrzyk, M., Piwowarczyk, M., Poloczek, Ł., Przybyłowicz, P., Rauch, Ł., & Wolańska, N. (2022). Thermal-mechanical finite element simulation of flat bar rolling coupled with a stochastic model of microstructure evolution. Computer Methods in Materials Science, 22(3), 137–148.

Article (PDF):


Flat bars, Hot rolling, Thermal-mechanical finite element model, Microstructure evolution, Stochastic model


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