Phase-field models in materials science

Steinbach, Ingo

doi:10.1088/0965-0393/17/7/073001

Cited by 1,050 publications

(578 citation statements)

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“…The initial grain structure is generated by the OpenPhase code with normal grain size distribution and consists of fourteen grains with different orientations and average grain diameter of ݀ ̅ =35 µm [26,27]. The simulation geometry input parameters are given in Tab.…”

Section: Simulation and Resultsmentioning

confidence: 99%

Modelling of flow behaviour and dynamic recrystallization during hot deformation of MS-W 1200 using the phase field framework

et al. 2016

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Abstract.A new simulation environment is developed to simulate the evolution of microstructure and the corresponding flow stress during rolling. An orientation dependent crystal plasticity hardening model is coupled to grain evolution-, recovery-and recrystallization kinetics within a phase field framework. Hardening and softening kinetics are treated consecutive to differentiate between individual effects. Simulation results are compared to hot compression tests at 1373 K with a strain rate of 1 s -1 .

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Section: Simulation and Resultsmentioning

confidence: 99%

Modelling of flow behaviour and dynamic recrystallization during hot deformation of MS-W 1200 using the phase field framework

et al. 2016

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“…The phasefield model has emerged as a powerful tool for describing the microstructural evolution processes. [18][19][20][21][22][23] This is a diffuse interface approach, in which the interface is not sharp but diffuse, exhibiting non-zero thickness. The main advantage of this model is that it is not necessary to explicitly track the position of a sharp interface in complex microstructural patterns.…”

Section: Advances In Quantitative Computation Of Solidification Micromentioning

confidence: 99%

“…The main advantage of this model is that it is not necessary to explicitly track the position of a sharp interface in complex microstructural patterns. The phase-field model has been applied to a variety of solidification processes, [18][19][20][21][22] and its capability of affording a qualitative understanding of phenomena has generally been acknowledged. Despite this success, however, a long-standing issue regarding the quantitative aspect of the phase-field model remained unresolved until recently.…”

Section: Advances In Quantitative Computation Of Solidification Micromentioning

confidence: 99%

“…In 1993, Kobayashi succeeded in reproducing a complicated dendrite structure using the phase-field model. 17 Since then, phase-field simulation [18][19][20][21][22][23] has become a major tool for the simulation of solidification. The main advantage of the phase-field model is that it is not necessary to explicitly track the position of a sharp interface in complex microstructural patterns.…”

Section: Introductionmentioning

confidence: 99%

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Solidification in a Supercomputer: From Crystal Nuclei to Dendrite Assemblages

Shibuta

Ohno

Takaki

2015

JOM

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Thanks to the recent progress in high-performance computational environments, the range of applications of computational metallurgy is expanding rapidly. In this paper, cutting-edge simulations of solidification from atomic to microstructural levels performed on a graphics processing unit (GPU) architecture are introduced with a brief introduction to advances in computational studies on solidification. In particular, million-atom molecular dynamics simulations captured the spontaneous evolution of anisotropy in a solid nucleus in an undercooled melt and homogeneous nucleation without any inducing factor, which is followed by grain growth. At the microstructural level, the quantitative phase-field model has been gaining importance as a powerful tool for predicting solidification microstructures. In this paper, the convergence behavior of simulation results obtained with this model is discussed, in detail. Such convergence ensures the reliability of results of phase-field simulations. Using the quantitative phase-field model, the competitive growth of dendrite assemblages during the directional solidification of a binary alloy bicrystal at the millimeter scale is examined by performing two-and threedimensional large-scale simulations by multi-GPU computation on the supercomputer, TSUBAME2.5. This cutting-edge approach using a GPU supercomputer is opening a new phase in computational metallurgy.

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“…Discontinuous variables like plastic strain in conventional plasticity can be smoothed at boundaries and interfaces to better reproduce physical deformation mechanisms, or in strain localization bands in the case of softening mechanical behaviour. Sharp interfaces are replaced by smooth interfaces in phase field models to simulate moving boundaries and thus avoid complex front-tracking methods [4][5][6]. The regularization is used in the two latter cases to obtain discretization-objective simulations results, i.e.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage

Forest¹

2016

Proc. R. Soc. A.

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International audienceThe construction of regularization operators presented in this work is based on the introduction of strain or damage micromorphic degrees of freedom in addition to the displacement vector and of their gradients into the Helmholtz free energy function of the constitutive material model. The combination of a new balance equation for generalized stresses and of the micromorphic constitutive equations generates the regularization operator. Within the small strain framework, the choice of a quadratic potential w.r.t. the gradient term provides the widely used Helmholtz operator whose regularization properties are well known: smoothing of discontinuities at interfaces and boundary layers in hardening materials, and finite width localization bands in softening materials. The objective is to review and propose nonlinear extensions of micromorphic and strain/damage gradient models along two lines: the first one introducing nonlinear relations between generalized stresses and strains; the second one envisaging several classes of finite deformation model formulations. The generic approach is applicable to a large class of elastoviscoplastic and damage models including anisothermal and multiphysics coupling. Two standard procedures of extension of classical constitutive laws to large strains are combined with the micromorphic approach: additive split of some Lagrangian strain measure or choice of a local objective rotating frame. Three distinct operators are finally derived using the multiplicative decomposition of the deformation gradient. A new feature is that a free energy function depending solely on variables defined in the intermediate isoclinic configuration leads to the existence of additional kinematic hardening induced by the gradient of a scalar micromorphic variable

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Phase-field models in materials science

Cited by 1,050 publications

References 100 publications

Modelling of flow behaviour and dynamic recrystallization during hot deformation of MS-W 1200 using the phase field framework

Modelling of flow behaviour and dynamic recrystallization during hot deformation of MS-W 1200 using the phase field framework

Solidification in a Supercomputer: From Crystal Nuclei to Dendrite Assemblages

Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage

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