Three dimensional elasto-plastic phase field simulation of martensitic transformation in polycrystal

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

doi:10.1016/j.msea.2012.06.080

Cited by 66 publications

(35 citation statements)

References 32 publications

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“…The main channel of such a relaxation is a plastic deformation arising when the stresses exceed the yield stress. A consequent description of the plastic deformation requires an essential complication of the model, by adding parameters describing the plastic deformation to the corresponding dynamic equations [38,39]. Instead, we take into account the plastic deformation in a phenomenological way.…”

Section: Appendix Simulation Of Transformation Kineticsmentioning

confidence: 99%

Role of magnetic degrees of freedom in a scenario of phase transformations in steel

et al. 2014

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Diversity of mesostructures formed in steel at cooling from high temperature austenite (γ) phase is determined by interplay of shear reconstructions of crystal lattice and diffusion of carbon. Combining first-principle calculations with large-scale phase-field simulations we demonstrate a decisive role of magnetic degrees of freedom in the formation of energy relief along the Bain path of γ-α transformation and, thus, in this interplay. We show that there is the main factor, namely, magnetic state of iron and its evolution with temperature which controls the change in character of the transformation. Based on the computational results we propose a simple model which reproduces, in a good agreement with experiment, the most important curves of the phase transformation in Fe-C, namely, the lines relevant to a start of ferrite, bainite, and martensite transformations. Phase field simulations within the model describe qualitatively typical patterns at these transformations.

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Section: Appendix Simulation Of Transformation Kineticsmentioning

confidence: 99%

Role of magnetic degrees of freedom in a scenario of phase transformations in steel

et al. 2014

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“…[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

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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.

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“…. ) meant at describing recrystallisation or phase transformation in polycrystals 71,72,73,74 . Some different aspects have been investigated and should be considered when generating Voronoi tessellations with the aim of modelling polycrystalline microstructures:…”

Section: Voronoi Tessellationsmentioning

confidence: 99%

Modelling Polycrystalline Materials: An Overview of Three-Dimensional Grain-Scale Mechanical Models

Benedetti

Barbe

2013

J. Multiscale Modelling

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A survey of recent contributions on three-dimensional grain-scale mechanical modelling of polycrystalline materials is given in this work. The analysis of material microstructures requires the generation of reliable micro-morphologies and affordable computational meshes as well as the description of the mechanical behavior of the elementary constituents and their interactions. The polycrystalline microstructure is characterized by the topology, morphology and crystallographic orientations of the individual grains and by the grain interfaces and microstructural defects, within the bulk grains and at the inter-granular interfaces. Their analysis has been until recently restricted to twodimensional cases, due to high computational requirements. In the last decade, however, the wider affordability of increased computational capability has promoted the development of fully three-dimensional models. In this work, different aspects involved in the grain-scale analysis of polycrystalline materials are considered. Different techniques for generating artificial micro-structures, ranging from highly idealized to experimentally based high-fidelity representations, are briefly reviewed. Structured and unstructured meshes are discussed. The main strategies for constitutive modelling of individual bulk grains and inter-granular interfaces are introduced. Some attention has also been devoted to three-dimensional multiscale approaches and some established and emerging applications have been discussed.

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Three dimensional elasto-plastic phase field simulation of martensitic transformation in polycrystal

Cited by 66 publications

References 32 publications

Role of magnetic degrees of freedom in a scenario of phase transformations in steel

Role of magnetic degrees of freedom in a scenario of phase transformations in steel

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

Modelling Polycrystalline Materials: An Overview of Three-Dimensional Grain-Scale Mechanical Models

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