Abstract
The concurrent cellular automata finite element (CAFE) approach for modelling microstructure evolution under thermo-mechanical processing conditions is the subject of the present work. Particular attention is put on modelling two phenomena, static recrystallization after deformation and phase transformation during heating. Details of the developed models are presented within the paper. Both models are implemented based on the CA Framework, which is also described in the work. Finally cellular automata approaches are combined with the finite element model based on the digital material representation idea. The numerical modelling of complex multistage hot deformation process was selected as a case study to show capabilities of the developed cellular automata finite element model.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Davies, C.H.J.: Growth of nuclei in a cellular automaton simulation of recrystalization. Scripta Materialia 36, 35–40 (1997)
Das, S., Palmiere, E.J., Howard, I.C.: CAFE: a tool for modelling thermomechanical processes. In: Palmiere, E.J., Mahfouf, M., Pinna, C. (eds.) Proc. Thermomech. Processing: Mechanics, Microstructure & Control, Sheffield, pp. 296–301 (2002)
Rollett, A., Raabe, D.: A hybrid model for mesoscopic simulation of recrystallization. Comp. Mater. Sci. 21, 69–78 (2001)
Madej, L., Hodgson, P.D., Pietrzyk, M.: Development of the multi-scale analysis model to simulate strain localization occurring during material processing. Archives of Computational Methods in Engineering 16, 287–318 (2009)
Raabe, D., Hantcherli, L.: 2D cellular automaton simulation of the recrystallization texture of an IF sheet steel under consideration of Zener pinning. Comp. Mater. Sci. 34, 299–313 (2009)
Bemacki, M., Resk, H., Coupez, T., Loge, R.E.: Finite element model of primary recrystallization in polycrystalline aggregates using a level set framework. Modelling and Simulation in Materials Science and Engineering 17 (2009)
Li, W., Zabaras, N.: A virtual environment or the interrogation of 3D polycrystalline microstructures including grain size effect. Computational Material Science 44, 1163–1177 (2009)
Sieradzki, L., Madej, L.: A perceptive comparison of the cellular automata and Monte Carlo techniques in application to static recrystallization modeling in polycrystalline materials. Computational Materials Science 67, 156–173 (2013)
Madej, L., Rauch, L., Perzynski, K., Cybulka, P.: Digital Material Representation as an efficient tool for strain inhomogeneities analysis at the micro scale level. Archives of Civil and Mechanical Engineering 11, 661–679 (2011)
Rauch, L., Madej, L.: Application of the automatic image processing in modelling of the deformation mechanisms based on the digital representation of microstructure. International Journal for Multiscale Computational Engineering 8, 343–356 (2010)
Szyndler, J., Madej, L.: Effect of number of grains and boundary conditions on digital material representatioin deformation under plain strain. Archives of Civil and Mechanical Engineering, http://dx.doi.org/10.1016/j.acme.2013.09.001
Madej, L., Sieradzki, L., Sitko, M., Perzynski, K., Radwański, K., Kuziak, R.: Multi scale cellular automata and finite element based model for cold deformation and annealing of a ferritic-pearlitic microstructure. Computational Materials Science 77, 172–181 (2013)
Von Neumann, J.: Theory of self reproducing automata. University of Illinois, Urbana (1966), Bamk, A.W. (ed.)
Spytkowski, P., Klimek, T., Rauch, Ł., Madej, L.: Implementation of cellular automata framework dedicated to digital material representation. Computer Methods in Materials Science 9, 283–288 (2009)
Golab, R., Bachniak, D., Bzowski, K., Madej, L.: Sensitivity Analysis of the Cellular Automata Model for Austenite-Ferrite Phase Transformation in Steels. Applied Mathematics 4(11), 1531–1536 (2013)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Golab, R., Sitko, M., Szyndler, J., Madej, Ł. (2014). Cellular Automata Finite Element Approach for Modelling Microstructure Evolution under Thermo-Mechanical Processing Conditions. In: Wąs, J., Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2014. Lecture Notes in Computer Science, vol 8751. Springer, Cham. https://doi.org/10.1007/978-3-319-11520-7_21
Download citation
DOI: https://doi.org/10.1007/978-3-319-11520-7_21
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11519-1
Online ISBN: 978-3-319-11520-7
eBook Packages: Computer ScienceComputer Science (R0)