A phase-field model for bainitic transformation

Arif, Tansel T.; Qin, Rong Shan

doi:10.1016/j.commatsci.2013.04.044

Cited by 34 publications

(20 citation statements)

References 31 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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“…Different transformations, especially those in steel, are described using this method [4]. However there are few phase-field models for the bainitic transformation [5,6], because it is one of the most complex transformations in steel. The formation of carbides has, up to our knowledge, not been considered until now.…”

Section: Introductionmentioning

confidence: 99%

A coupled phase‐field – Cahn‐Hilliard model for lower bainitic transformation

Düsing

Mahnken

2015

Proc Appl Math and Mech

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The lower bainitic transformation is highly dependent on carbon diffusion. Bainite consists of bainitic ferrite, residual austenite and carbides. The numerical modeling of the interaction between these phases and the carbon is extremely demanding. The goal of this work is to describe the formation of carbides in lower bainite. To model the evolution of a bainitic sheaf a phase-field model is coupled with a Cahn-Hilliard equation simulating the diffusion. The system of equations is solved using the finite element method. Numerical examples show the growth of the ferrite and the following uphill diffusion within this phase. At accumulation points of carbon, carbides are precipitated.

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“…A coherency dislocation that can climb conservatively while accomplishing lattice transformation, adapted from [15]. The inset at the right is the representation of the coherency dislocation in a manner analogous to ordinary dislocations that have extra half-planes The first issue is particularly prevalent in phase field models of bainite where the parent, product and interface are all represented in terms of an order parameter; the interface is therefore diffuse [20][21][22][23]. Both, the definition of how the free energy density varies across the boundary and the assumption of particular systematic gradients within the diffuse interface are arbitrary.…”

Section: The Interfacementioning

confidence: 99%

“…High resolution transmission electron microscopy has shown that the bainite-austenite interface is in reality sharp, less than 1 nm in thickness [24][25][26]. The treatment of the strain energy due to the shape deformation is either absent [20,21] or has been implemented incorrectly with shear occurring in all directions within the habit plane [22,23]. When the shape deformation is neglected, the plate shape is generated by an arbitrary anisotropy of interfacial energy; this procedure amounts to image generation rather than a physical representation.…”

Section: The Interfacementioning

confidence: 99%

Atomic Mechanism of the Bainite Transformation

Bhadeshia

2017

HTM Journal of Heat Treatment and Materials

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I have on previous occasions shown how we can be surprised and delighted by new discoveries in steels, which at the same time may be useful. However, my focus in this lecture is purely on some basic science so that a well-founded understanding of mechanisms can lead to ever greater advances. The composite structure that is known colloquially as bainite is arguably the most interesting of all of the essential microstructures that occur in steels, where the manner in which atoms move is seminal to the design of steels. Therefore, I take the liberty to indulge myself and talk only of theory on this occasion. n

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A phase-field model for bainitic transformation

Cited by 34 publications

References 31 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

A coupled phase‐field – Cahn‐Hilliard model for lower bainitic transformation

Atomic Mechanism of the Bainite Transformation

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