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Mean field and full field modelling of microstructure evolution and phase transformations during hot forming and cooling of low carbon steels

Szeliga Danuta, Bzowski Krzysztof, Rauch Łukasz, Kuziak Roman, Pietrzyk Maciej

Computer Methods in Materials Science

2020

Vol. 20, No. 3

121--132

The paper describes a critical comparison of mean field and full field approaches to modelling hot deformation/controlled cooling sequences for steels. Classification of the models, based on the balance between predictive capabilities and computing costs, is presented. Mean field models, which describe microstructure evolution and phase transformations were connected with thermomechanical finite element program and applied to simulation of the hot strip rolling process and cooling of tubes after hot rolling. Full field model described in the paper is a connection of the finite element (FE) and level set (LSM) methods. These methods were used to simulate heating/cooling sequence in the continuous annealing line. A suggestion to use a stochastic model as a bridge between mean field and full field approaches is made.

Fast model for phase transformations during cooling of pre-annealed multiphase steels

Szeliga Danuta, Kuziak Roman, Zalecki Władysław, Pidvysotskyy Valeriy, Chang Yuling, Bleck Wolfgang, Bachniak Daniel, Pietrzyk Maciej

Computer Methods in Materials Science

2019

Vol. 19, No. 4

150--161

A thorough experimental and numerical analysis of phase transformations in a selected CP800 steel was the general objective of the paper. Dilatometric tests were performed for a wide range of cooling rates. Two models based on a mean field approach were considered. The first was an upgrade of the Johnson-Mehl-Avrami-Kolmogorov equation. The second model was based on the Leblond equation. Both models were identified using inverse analysis of the experimental data. Simulations of various cooling schedules were performed to validate the models. Phase compositions for these cooling schedules were determined. Following this the effect of elements' segregation during solidification of steel on the occurrence of marteniste/bainite bands was accounted for using the developed models.

W artykule opisano doświadczalną i numeryczną analizę przemian fazowych w wybranej stali o podwyższonej wytrzymałości. Próby dylatometryczne wykonano w szerokim zakresie prędkości chłodzenia. Rozważono dwa modele wykorzystujące metodę średniego pola. Pierwszym modelem była zmodernizowana wersja modelu JMAK (Johnson-Mehl-Avrami-Kolmogorov). Drugim modelem było rozwinięcie równania Leblonda. Przeprowadzono identyfikację modeli wykorzystując rozwiązanie odwrotne dla prób dylatometrycznych. W celu walidacji modeli wykonano symulacje różnych schematów chłodzenia. Wyznaczono skład fazowy dla tych schematów. Następnie oszacowano wahania składu chemicznego w badanej stali i wykorzystano opracowane modele do określenie wpływu segregacji pierwiastków podczas krzepnięcia stali na powstawanie pasm martenzytu/bainitu.

Perceptive comparison of mean and full field dynamic recrystallization models

Madej Ł., Sitko M., Pietrzyk M.

Archives of Civil and Mechanical Engineering

2016

Vol. 16, no. 4

569--589

Review of dynamic recrystallization models is the subject of the present work. Development of both mean field and full field approaches during last three decades is presented and discussed. Conventional mean field models based on closed form equations as well as differential equations are presented first. Then full field models are elaborated focusing on the cellular automata approach as an example. Capabilities as well as limitations and drawbacks of these approaches are highlighted based on the set of case studies. Experimental data for validation of models were obtained from uniaxial compression tests at Gleeble 3800 thermo-mechanical simulator.