University of Oulu

Pohjonen, A., Full Field Model Describing Phase Front Propagation, Transformation Strains, Chemical Partitioning, and Diffusion in Solid–Solid Phase Transformations. Adv. Theory Simul. 2023, 6, 2200771.

Full field model describing phase front propagation, transformation strains, chemical partitioning, and diffusion in solid–solid phase transformations

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Author: Pohjonen, Aarne1
Organizations: 1Materials and Mechanical Engineering, Faculty of Technology, University of Oulu, Oulu, PL4200, 90014 Finland
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 17.3 MB)
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Language: English
Published: John Wiley & Sons, 2023
Publish Date: 2023-09-22


A novel mathematical formulation is presented for describing growth of phase in solid-to-solid phase transformations and it is applied for describing austenite to ferrite transformation. The formulation includes the effects of transformation eigenstrains, the local strains, as well as partitioning and diffusion. In the current approach the phase front is modeled as diffuse field, and its propagation is shown to be described by the advection equation, which reduces to the level-set equation when the transformation proceeds only to the interface normal direction. The propagation is considered as thermally activated process in the same way as in chemical reaction kinetics. In addition, connection to the Allen–Cahn equation is made. Numerical tests are conducted to check the mathematical model validity and to compare the current approach to sharp interface partitioning and diffusion model. The model operation is tested in isotropic 2D plane strain condition for austenite to ferrite transformation, where the transformation produces isotropic expansion, and also for austenite to bainite transformation, where the transformation causes invariant plane strain condition. Growth into surrounding isotropic austenite, as well as growth of the phase which has nucleated on a grain boundary are tested for both ferrite and bainite formation.

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Series: Advanced theory and simulations
ISSN: 2513-0390
ISSN-E: 2513-0390
ISSN-L: 2513-0390
Volume: 6
Issue: 3
Article number: 2200771
DOI: 10.1002/adts.202200771
Type of Publication: A1 Journal article – refereed
Field of Science: 216 Materials engineering
Funding: The funding of this research activity under the auspices of Genome of Steel (Profi3) project through grant #311934 by the Academy of Finland is gratefully acknowledged.
Copyright information: © 2023 The Authors. Advanced Theory and Simulations published by Wiley-VCH GmbH. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.