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May 13, 2026Metallurgical and Materials Transactions A0 citationsOpen Access

Modeling the Kinetics of Austenite Decomposition for Arbitrary Cooling Conditions Using Symbolic Regression

BBBernhard BloderGKGabriel KronbergerTAThomas Antretter

Key Points

  • The aim is to model the kinetics of austenite decomposition during phase transformations under varying cooling conditions using symbolic regression.
  • Used symbolic regression to derive an analytical equation for phase transformation rates.
  • Validated the equation on four additional measurements under different heat treatments.
  • Discussed method application to diverse chemical compositions.
  • The derived equation effectively describes phase transformation kinetics for arbitrary cooling paths.
  • Validated against multiple datasets with different microstructures, showing strong correlation.
  • Indicated broad applicability of the method across varied chemical compositions.

Abstract

Abstract Symbolic regression searches for mathematical expressions that best fit a given set of data points. In this work we use this regression method to describe phase transformations from austenite to product phases for different isothermal and non-isothermal cooling conditions with a single analytical equation. Besides the data processing steps, we describe the underlying mathematical algorithm and present an expression for the employed data set. The resulting equation describes the phase transformation rate and can be used to describe the phase transformation kinetics for arbitrary cooling paths. The result is validated on four additional measurements with different heat treatment and final microstructures. The application of the method to a wider range of chemical compositions is discussed.

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Cite This Study

Bloder et al. (2026) studied this question.

synapsesocial.com/papers/6a0414cc79e20c90b4444ae2https://doi.org/10.1007/s11661-026-08211-1
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