Three-dimensional phase-field modeling of martensitic microstructure evolution in steels

Yeddu, Hemantha Kumar; Malik, Amer; Ågren, John; Amberg, Gustav; Borgenstam, Annika

doi:10.1016/j.actamat.2011.11.039

Cited by 134 publications

(93 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[18][19][20][21][22] The MT in steels have been simulated by simultaneously modeling the cubic → tetragonal lattice deformation and the plastic deformation in the γ and/or α ′ phases. [23][24][25][26][27][28][29][30][31][32][33] In most of these studies, the elastic energy calculation is based on the microelasticity theory; 14,34) hence, the long-range elastic interaction between the transformation strain (Bain strain), plastic strain, and external applied stress is automatically taken into account and its effect on the microstructure evolution has been successfully simulated. However, the formation of the {111} γ habit plane has not yet been simulated; although Yeddu et al 26) predicted the habit plane of an infinitesimal α ′ phase as ( 111) γ , the final habit plane was determined to be ( 2 11) γ after the growth of the α ′ phase.…”

Section: Introductionmentioning

confidence: 99%

Phase-field Simulation of Habit Plane Formation during Martensitic Transformation in Low-carbon Steels

Tsukada

Kojima²,

Koyama

et al. 2015

ISIJ International

View full text Add to dashboard Cite

The origin of the habit plane of the martensite phase (α ′) in low-carbon steels is elucidated by threedimensional phase-field simulations. The cubic → tetragonal martensitic transformation and the evolution of dislocations with Burgers vector a α ′ /2〈111〉 α ′ in the evolving α ′ phase are modeled simultaneously. By assuming a static defect in the undercooled parent phase (γ ), we simulate the heterogeneous nucleation in the martensitic transformation. The transformation progresses with the formation of the stress-accommodating cluster composed of the three tetragonal domains of the α ′ phase. With the growth of the α ′ phase, the habit plane of the martensitic cluster emerges near the (111) γ plane, whereas it is not observed in the simulation in which the slip in the α ′ phase is not considered. We observed that the formation of the (111) γ habit plane, which is characteristic of the lath martensite that contains a high dislocation density, is attributable to the slip in the α ′ phase during the martensitic transformation.

show abstract

Section: Introductionmentioning

confidence: 99%

Phase-field Simulation of Habit Plane Formation during Martensitic Transformation in Low-carbon Steels

Tsukada

Kojima²,

Koyama

et al. 2015

ISIJ International

View full text Add to dashboard Cite

show abstract

“…The chemical part of the Gibbs energy density G chem v , expressed as a Landau-type polynomial [30,36], is given by:…”

Section: Phase-field Modelmentioning

confidence: 99%

“…The phase-field method [24][25][26] has been successfully used to study the microstructure evolution during martensitic transformations [8,[27][28][29][30][31][32][33][34][35][36][37][38][39][40]. The simulations clearly show some of the typical characteristics of the transformation, such as twinned microstructure evolution and autocatalysis [36], the effect of plasticity on the morphology [37], habit planes and rotations of variants during the transformation [37], the effect of embryo potency on the transformation [38], the stress-assisted martensitic microstructure evolution under different stress states and the TRIP effect [39].…”

Section: Introductionmentioning

confidence: 99%

Strain-induced martensitic transformation in stainless steels: A three-dimensional phase-field study

2013

Self Cite

View full text Add to dashboard Cite

“…The quantitative scheme presented in this paper can now be applied to any 2D and 3D system irrespective of the nature of elastic moduli, interface curvature (morphology) and the presence of shear strains. This model is currently being combined with plasticity models [24,25] and a multi-phase field model [26] in order to study more complex multi-phase systems with realistic stress states. Substituting for the stresses in the strain expressions and rewriting, we obtain…”

Section: Conclusion and Perpectivesmentioning

confidence: 99%

A quantitative phase-field model for two-phase elastically inhomogeneous systems

Durga

Wollants

Moelans

2015

Computational Materials Science

View full text Add to dashboard Cite

Solid-state phase transformations are influenced by strains that are generated internally or applied externally. The stress state, composition, and microstructure evolution, which together determine the properties of solid materials can be studied using phase-field models coupled with micro-elasticity theory in the small strain limit. This coupling has been implemented using various schemes in literature. In a previous article (Durga et al., 2013 [1]), the authors evaluated three main existing schemes for a two-phase system and concluded that these schemes are not quantitative for inhomogeneous anisotropic elastic properties of the two phases. The stress states predicted by these models deviate from the expected values due to the generation of extra interfacial energy, which is an artefact of the models resulting from interfacial conditions different from local mechanical equilibrium conditions. In this work, we propose a new scheme with interfacial conditions consistent with those of the analytical results applicable to a general system where shear strains may be present. Using analytical solutions for composition and stress evolution, we validate this model for 2D and 3D systems with planar interface in the presence of misfit between phases and applied strains, and a 2D system with an elliptical second-phase particle. This extended scheme can now be applied to simulate quantitatively the microstructural evolution with coupled chemical and mechanical behaviour in any 2D or 3D two-phase system subject to internal or external strains irrespective of interface curva-

show abstract

Three-dimensional phase-field modeling of martensitic microstructure evolution in steels

Cited by 134 publications

References 20 publications

Phase-field Simulation of Habit Plane Formation during Martensitic Transformation in Low-carbon Steels

Phase-field Simulation of Habit Plane Formation during Martensitic Transformation in Low-carbon Steels

Strain-induced martensitic transformation in stainless steels: A three-dimensional phase-field study

A quantitative phase-field model for two-phase elastically inhomogeneous systems

Contact Info

Product

Resources

About