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L. Madej, P. D. Hodgson and M. Pietrzyk, “Development of the Multi-Scale Analysis Model to Simulate Strain Localization Occurring during Material Processing,” Archives of Computational Methods in Engineering, Vol. 16, No. 3, 2009, pp. 287-231.
http://dx.doi.org/10.1007/s11831-009-9033-6

has been cited by the following article:

• TITLE: Sensivity Analysis of the Cellular Automata Model for Austenite-Ferrite Phase Transformation in Steels

  AUTHORS: Rafal Golab, Daniel Bachniak, Krzysztof Bzowski, Lukasz Madej

  KEYWORDS: Sensitivity Analysis; Cellular Automata; Austenite; Ferrite; Phase Transformation

  JOURNAL NAME: Applied Mathematics, Vol.4 No.11, November 5, 2013

  ABSTRACT: The main goal of the present research is to realize a sensitivity analysis of the developed complex micro scale austenite (γ) to ferrite (α) phase transformation model. The proposed solution is implemented in the developed Cellular Automata Framework that facilitates implementation of various microstructure evolution models. Investigated model predicts phase transformation progress starting from the fully austenitic or two-phase regions. Theoretical background of the implemented austenite-ferrite phase transformation model is presented in the paper. The defined transition rules for initiation and subsequent growth as well as internal variables for each particular CA cell are also discussed. Examples of results obtained from the developed model, as well as model capabilities are shown. Finally sensitivity analysis using Morris OAT Design is also presented and discussed.