A coupled phase field/diffusion model for upper and lower bainitic transformation

Düsing, Martin; Mahnken, Rolf

doi:10.1016/j.ijsolstr.2017.11.018

Cited by 12 publications

(13 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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

View full text Add to dashboard Cite

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.

show abstract

Section: Simulation Setupmentioning

confidence: 99%

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

et al. 2020

View full text Add to dashboard Cite

show abstract

“…where φ i are the phase field variables and c is the carbon concentration. The energy ψ el (φ i , ε) is a new term compared to [3] and [5] considering deformations and the coupling with the phase field order parameters φ i :…”

Section: Governing Equationsmentioning

confidence: 99%

“…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

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…Several theoretical and computational models were proposed in the literature [79,[84][85][86] to describe the formation of carbides in austenite during the bainitic transformation. [79] used diffusion models of a plate shaped ferrite growth, developed in [87], to determine the overall kinetics of bainite, and reported a good agreement of the bainitic growth rate with the experimental data.…”

Section: Introductionmentioning

confidence: 99%

“…The carbide precipitates in that model act as carbon sinks within austenite and such a sink was added near the austenite ferrite interface behind the tip of the growing ferrite grain. A phase-field method coupled with a diffusion model was used in [85] for the simulation of the upper and lower bainitic transformation including the carbide formation. However, in that study, the elastic energy produced by the displacive transformation was not included into the model, and the transformation kinetics and the morphology of ferrite grains were controlled by the carbon diffusion and the precipitation of carbides.…”

Section: Introductionmentioning

confidence: 99%

Phase Field Modelling of Bainitic Transformation

Elhigazi¹

View full text Add to dashboard Cite

A coupled phase field/diffusion model for upper and lower bainitic transformation

Cited by 12 publications

References 23 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

Phase Field Modelling of Bainitic Transformation

Contact Info

Product

Resources

About