Phase-field simulation of static recrystallization considering nucleation from subgrains and nucleus growth with incubation period

Muramatsu, Masaaki; Aoyagi, Yoshiteru; Tadano, Yuichi; Shizawa, Kazuyuki

doi:10.1016/j.commatsci.2014.02.003

Cited by 33 publications

(18 citation statements)

References 30 publications

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“…Similar to the weak formulation of linear momentum presented in (17), the weak formulation (25) for the equation of kinematic compatibility leads to an over-determined system of equations, i.e., there are N int + 1 distinct tensor-valued equations and only N gr tensor-valued unknowns. Observe that a trivial solution to this system of equations corresponds to a uniform state of deformation, F N =F in the grains N , reflecting the well-known Taylor bound.…”

Section: Weak Formulation and Discretization Of The Kinematic Compatimentioning

confidence: 99%

“…In principle this is an over-determined system of equations since, in view of (2) and (17), there are N int + N gr + 1 distinct tensor-valued equations and only N gr + 1 tensor-valued unknowns, i.e., the deformations gradients in each grain and the global Lagrange multiplier. Observe that one solution of this system of equations corresponds to a uniform state of stress, with the Lagrange multiplier Σ representing the actual macroscopic stress value.…”

Section: Weak Formulation and Discretization Of The Balance Of Linearmentioning

confidence: 99%

“…By assuming grain-wise constant deformation gradients, see expression (5), the discrete form of the balance of linear momentum (17) leads to the uniform stress solution (Sachs bound), whereas the discrete form of the kinematic compatibility equation (25) provides the state of a uniform deformation gradient or strain (Taylor bound). The GGCM consists of finding solutions that simultaneously approximate these two conditions.…”

Section: Formulation Of the Constrained Minimization Problemmentioning

confidence: 99%

“…The need for understanding the evolution of microstructural characteristics with deformation has stimulated the development of advanced micromechanical models that accurately describe the underlying physical phenomena, e.g., recrystallization [3,17], martensitic phase transitions [20,23,35], phase separation and coarsening by diffusion [5], twinning and detwinning [12,39], dislocation interactions [7,9], and cracking and damage growth [2,4,8,29]. In order to apply state-of-the-art micromechanical models for the analysis of large-scale engineering problems, efficient and generic multiscale methods need to be developed for keeping the computational times within manageable bounds.…”

Section: Introductionmentioning

confidence: 99%

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Generalized grain cluster method for multiscale response of multiphase materials

2015

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A multiscale approach termed the generalized grain cluster method (GGCM) is presented, which can be applied for the prediction of the macroscopic behavior of an aggregate of single crystal grains composing a multiphase material. The GGCM is based on the minimization of a functional that depends on the microscopic deformation gradients in the grains through the equilibrium requirements of the grains as well as kinematic compatibility between grains. By means of the specification of weighting factors it is possible to mimic responses falling between the Taylor and Sachs bounds. The numerical solution is computed with an incremental-iterative algorithm based on a constrained gradient descent method. For a multiscale analysis, the GCCM can be included at integration points of a standard finite element code to simulate macroscopic problems. A comparison with FEM direct numerical simulations illustrates that the computational time of the GGCM may be up to about an order of magnitude lower.

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Section: Weak Formulation and Discretization Of The Kinematic Compatimentioning

confidence: 99%

Section: Weak Formulation and Discretization Of The Balance Of Linearmentioning

confidence: 99%

Section: Formulation Of the Constrained Minimization Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Generalized grain cluster method for multiscale response of multiphase materials

2015

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“…Following the transition towards more physical based approaches leads to an understanding of the importance of a defined microstructure. With the ability to model complex structures today the phase field method is a well-established way to approach the field of thermomechanical microstructure evolution [4][5][6][7][8][9]. However to successfully setup a simulation environment it is necessary to differentiate between single effects to weigh the influence.…”

Section: Introductionmentioning

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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Grain Size Evolution during Multipass Hot‐Rolling of C‐Mn Steels: Comparison of Phase Field and Extended JMAK Modeling

Tzini

Karamichailidou

Haidemenopoulos

2018

steel research int.

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The design of multipass hot-rolling schedules is of great importance to steel industry and an effort is made to predict the microstructure evolution. In the present study, a multi-phase field model is employed for the simulation of the grain size evolution due to static recrystallization and grain growth during multipass hot-rolling of C-Mn steels. A variable stored energy per rolling pass, a temperature dependent interface mobility, and nucleation site density are considered. The model is compared with an extended JMAK model and validated with experimental data obtained from two hot-rolling schedules.The results indicate that both models describe the experimental data well, however the phase field model avoids certain discontinuities between static recrystallization and grain growth. A statistical analysis is conducted to investigate the effect of the microstructure domain size on the phase field results and grain size distributions. The effect of key process parameters on the kinetics of static recrystallization and grain growth are determined by the temporal evolution of equivalent circular grain diameter distributions. Both approaches have the potential to be used for the computational design of multipass hot-rolling processes in steels.

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Phase-field simulation of static recrystallization considering nucleation from subgrains and nucleus growth with incubation period

Cited by 33 publications

References 30 publications

Generalized grain cluster method for multiscale response of multiphase materials

Generalized grain cluster method for multiscale response of multiphase materials

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

Grain Size Evolution during Multipass Hot‐Rolling of C‐Mn Steels: Comparison of Phase Field and Extended JMAK Modeling

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