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In this work, austenite-martensite transformation in a low alloy steel is modeled using Voronoi algorithm. The evolved fraction of martensite is predicted from the geometry of the Voronoi diagram constructed, incorporating nucleation kinetics of martensite and Voronoi algorithm. The obtained results are validated against the Koistinen-Marburger equation. The geometrical properties of evolved martensite phase are identified using the characteristics of Poisson-Voronoi diagram. Finally, the microstructure developed is used to analyze local stress-strain behavior of different phases in the microscale. Results show that higher stress values are distributed in martensite phase and higher strain values are distributed in austenite phase.

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This paper examines the ability of power Voronoi diagram assisted simulation in microstructure modeling during heat treatment. A model is developed for predicting fraction of austenite evolved during continuous heating of steel to austenite range, by integrating geometrical features of power Voronoi diagram and classical nucleation theory. From the simulation results, it is possible to predict the transformed fraction. The simulation results are validated using experiments conducted on two varieties of steels. The maximum error obtained is 2.08%. Thus, power Voronoi assisted simulation can be considered as an effective tool in modeling microstructure evolution during austenitization.

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