Simulation of lower bainitic transformation with the phase-field method considering carbide formation

Düsing, Martin; Mahnken, Rolf

doi:10.1016/j.commatsci.2015.08.043

Cited by 26 publications

(15 citation statements)

References 26 publications

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“…Despite the several analytical and numerical modelings of bainite transformation, e.g. [45,46,47,48,49], an extensive analysis of the elastically governed autocatalytic evolution of a single variant is largely impending. Given the in uence of the autocatalysis in the formulation of the transformation kinetics, as described in Sec.…”

Section: Simulation Setupmentioning

confidence: 99%

Influence of stress-free transformation strain on the autocatalytic growth of bainite: A multiphase-field analysis

et al. 2020

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Analytical treatments, formulated to predict the rate of the bainite transformation, de ne autocatalysis as the growth of the subunits at the bainite-austenite interface. Furthermore, the role of the stress-free transformation strain is o en translated to a thermodynamic criterion that needs to be ful lled for the growth of the subunits. In the present work, an elastic phase-eld model, which elegantly recovers the sharp-interface relations, is employed to comprehensively explicate the e ect of the elastic energy on the evolution of the subunits. e primary nding of the current analysis is that the role of eigenstrains in the bainite transformation is apparently complicated to be directly quanti ed as the thermodynamic constraint. It is realized that the inhomogeneous stress state, induced by the growth of the primary subunit, renders a spatially dependent ill-and well-favored condition for the growth of the secondary subunits. A favorability contour, which encloses the sections that facilitate the elastically preferred growth, is postulated based on the elastic interaction. rough the numerical analyses, the enhanced growth of the subunits within the favorability-contour is veri ed. Current investigations show that the morphology and size of the elastically preferred region respectively changes and increases with the progressive growth of the subunits.

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Section: Simulation Setupmentioning

confidence: 99%

Influence of stress-free transformation strain on the autocatalytic growth of bainite: A multiphase-field analysis

et al. 2020

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“…We end up with evolution equations for the deformations, the concentration c and phase field order parameters φ i . For the sake of brevity we omit the equation for the deformation and present the diffusion equation of Cahn-Hilliard type [2] without inserting the constitutive equations (for full equation see [5])…”

Section: Governing Equationsmentioning

confidence: 99%

Simulation of upper and lower bainitic transformation with a coupled phase field/diffusion/deformation framework

Düsing

Mahnken

2018

Proc Appl Math and Mech

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In materials science one distinguishes between upper and lower bainite which grow due to different quenching processes. The temperature influences significantly the diffusion of carbon and therefore the resulting microstructure. The growth direction of the corresponding phase depends strongly on the eigenstrains of the transformation. In this work we describe this phase transformation process with different diffusion mechanisms and a coupling of the phase field method with deformations due to eigenstrains. Numerical examples demonstrate the expected behaviour.

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“…The Cahn-Hilliard potential factor d amplifies the double well potential. This first term in equation (2) describes the separation of carbon within the bainitic ferrite and is commonly used for Cahn-Hilliard equations [1]. The second term is required for the diffusion in bulk parts of the domain and is, according to Wheeler et al, [5] chosen aŝ…”

Section: Governing Equationsmentioning

confidence: 99%

A coupled phase transformation and solute diffusion model for bainitic transformation

Düsing

Mahnken

2017

Proc Appl Math and Mech

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Simulation of lower bainitic transformation with the phase-field method considering carbide formation

Cited by 26 publications

References 26 publications

Influence of stress-free transformation strain on the autocatalytic growth of bainite: A multiphase-field analysis

Influence of stress-free transformation strain on the autocatalytic growth of bainite: A multiphase-field analysis

Simulation of upper and lower bainitic transformation with a coupled phase field/diffusion/deformation framework

A coupled phase transformation and solute diffusion model for bainitic transformation

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