Phase-Field Model for Microstructure Evolution at the Mesoscopic Scale

Steinbach, Ingo

doi:10.1146/annurev-matsci-071312-121703

Cited by 226 publications

(118 citation statements)

References 49 publications

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“…Applications of the PF method in predicting microstructure evolution in solidification and solid state phase transition have been reviewed in several articles. [46][47][48][49][50][51][52][53] During the past decade, the PF approach has been applied to study microstructure evolutions in irradiated nuclear materials [91][92][93][94][95] Millett and Tonks reviewed the application of PF models in predicting void and gas bubble evolution. 96 The PF method also has been used to study the effect of microstructures on material property degradation including radiation-induced void and gas bubble swelling.…”

Section: Introductionmentioning

confidence: 99%

“…Applications of the PF method in predicting microstructure evolution in solidification and solid state phase transition have been reviewed in several articles. [46][47][48][49][50][51][52][53] During the past decade, the PF approach has been applied to study microstructure evolutions in irradiated nuclear materials such as gas bubble evolution in nuclear fuels, [54][55][56][57][58][59][60][61][62] void formation and evolution, [63][64][65][66][67][68][69][70][71][72][73] void and gas bubble lattice formation, 62,74 void migration under temperature gradient, [75][76][77] SIA loop growth kinetics, [78][79][80] precipitation, [81][82][83][84][85][86][87][88][89][90] grain growth and recrystallization. [91]…”

Section: Introductionmentioning

confidence: 99%

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A review: applications of the phase field method in predicting microstructure and property evolution of irradiated nuclear materials

Sun

et al. 2017

npj Comput Mater

113

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Complex microstructure changes occur in nuclear fuel and structural materials due to the extreme environments of intense irradiation and high temperature. This paper evaluates the role of the phase field method in predicting the microstructure evolution of irradiated nuclear materials and the impact on their mechanical, thermal, and magnetic properties. The paper starts with an overview of the important physical mechanisms of defect evolution and the significant gaps in simulating microstructure evolution in irradiated nuclear materials. Then, the phase field method is introduced as a powerful and predictive tool and its applications to microstructure and property evolution in irradiated nuclear materials are reviewed. The review shows that (1) Phase field models can correctly describe important phenomena such as spatial-dependent generation, migration, and recombination of defects, radiation-induced dissolution, the Soret effect, strong interfacial energy anisotropy, and elastic interaction; (2) The phase field method can qualitatively and quantitatively simulate two-dimensional and three-dimensional microstructure evolution, including radiation-induced segregation, second phase nucleation, void migration, void and gas bubble superlattice formation, interstitial loop evolution, hydrate formation, and grain growth, and (3) The Phase field method correctly predicts the relationships between microstructures and properties. The final section is dedicated to a discussion of the strengths and limitations of the phase field method, as applied to irradiation effects in nuclear materials. npj Computational Materials (2017) 3:16 ; doi:10.1038/s41524-017-0018-y INTRODUCTIONHigh energy particle (such as neutron, ion, and electron) radiation can create major changes in the shape and thermo-mechanical properties of nuclear fuels and structural components of nuclear reactors. These changes are caused by radiation-induced evolution of compositions and microstructures. The main effects of radiation on reactor materials are: (1) dimensional change associated with gas bubble swelling, void swelling, grain growth, and creep; 1-5 (2) loss of ductility and increase in ductile-brittle transition temperature (DBTT) due to the formation of secondphase precipitates, self-interstitial atomic (SIA) loops, and dislocation networks; 6, 7 (3) oxidation and corrosion accelerated by high temperature, fission products, and radiation damage; 8-10 and (4) local and bulk changes in chemical composition, including irradiation-enhanced segregation of alloy components and phase separation.11-17 Figure 1 shows typical microstructures observed in irradiated materials.9, 18-21 The radiation-induced heterogeneity of the microstructures depends on the initial phase and defect structure of the fresh (non-irradiated) materials and on the type and severity of the radiation environment. Fundamental understanding of heterogeneous three-dimensional microstructure evolution is crucial to the development of advanced radiation tolerant materials that can significa...

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Section: Introductionmentioning

confidence: 99%

“…Applications of the PF method in predicting microstructure evolution in solidification and solid state phase transition have been reviewed in several articles. [46][47][48][49][50][51][52][53] During the past decade, the PF approach has been applied to study microstructure evolutions in irradiated nuclear materials such as gas bubble evolution in nuclear fuels, [54][55][56][57][58][59][60][61][62] void formation and evolution, [63][64][65][66][67][68][69][70][71][72][73] void and gas bubble lattice formation, 62,74 void migration under temperature gradient, [75][76][77] SIA loop growth kinetics, [78][79][80] precipitation, [81][82][83][84][85][86][87][88][89][90] grain growth and recrystallization. [91]…”

Section: Introductionmentioning

confidence: 99%

A review: applications of the phase field method in predicting microstructure and property evolution of irradiated nuclear materials

Sun

et al. 2017

npj Comput Mater

113

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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

Self Cite

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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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“…Multi-phase field models are a powerful method to simulate complex microstructure evolution and interfacial pattern formation processes in a wide range of applications [1,2,3,4,5]. Whereas the role of isolated interfaces both in equilibrium and non-equilibrium is well understood, there is still a lack of understanding of the interaction of interfaces.…”

Section: Introductionmentioning

confidence: 99%

Phase-field modeling of grain-boundary premelting using obstacle potentials

Bhogireddy

Hüter²,

Neugebauer³

et al. 2014

Phys. Rev. E

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We investigate the multi-order parameter phase field model of Steinbach and Pezzolla [I. Steinbach, F. Pezzolla, A generalized field method for multiphase transformations using interface fields, Physica D 134 (1999) 385-393] concerning its ability to describe grain boundary premelting. For a single order parameter situation solid-melt interfaces are always attractive, which allows to have (unstable) equilibrium solid-melt-solid coexistence above the bulk melting point. The temperature dependent melt layer thickness and the disjoining potential, which describe the interface interaction, are affected by the choice of the thermal coupling function and the measure to define the amount of the liquid phase. Due to the strictly finite interface thickness also the interaction range is finite. For a multi-order parameter model we find either purely attractive or purely repulsive finite-ranged interactions. The premelting transition is then directly linked to the ratio of the grain boundary and solid-melt interfacial energy.

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Phase-Field Model for Microstructure Evolution at the Mesoscopic Scale

Cited by 226 publications

References 49 publications

A review: applications of the phase field method in predicting microstructure and property evolution of irradiated nuclear materials

A review: applications of the phase field method in predicting microstructure and property evolution of irradiated nuclear materials

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

Phase-field modeling of grain-boundary premelting using obstacle potentials

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