Phase-field model of deformation twin-grain boundary interactions in hexagonal systems

A phase-field model is described for predicting the diffusional phase transformation process in elastically inhomogeneous polycrystals. The elastic interactions are incorporated by solving the mechanical equilibrium equation using the Fourier-spectral iterative-perturbation scheme taking into account elastic modulus inhomogeneity. A number of examples are presented, including grain boundary segregation, precipitation of second-phase particles in a polycrystal, and interaction between segregation at a grain boundary and coherent precipitates inside grains. It is shown that the local pressure distribution due to coherent precipitates leads to highly inhomogeneous solute distribution along grain boundaries.

Download Full-text

P015 Crystal Plasticity Multi-phase-field Model for Predicting Nucleation by Grain Boundary Bulging

The Proceedings of Conference of Kansai Branch ◽

10.1299/jsmekansai.2015.90.433 ◽

2015 ◽

Vol 2015.90 (0) ◽

pp. 433

Author(s):

Takato YAMAGUCHI ◽

Tomohiro TAKAKI

Keyword(s):

Grain Boundary ◽

Crystal Plasticity ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Multi Phase

Download Full-text

Validation of a novel higher-order multi-phase-field model for grain-growth simulations using anisotropic grain-boundary properties

Computational Materials Science ◽

10.1016/j.commatsci.2015.10.010 ◽

2016 ◽

Vol 112 ◽

pp. 44-51 ◽

Cited By ~ 33

Author(s):

Eisuke Miyoshi ◽

Tomohiro Takaki

Keyword(s):

Grain Boundary ◽

Grain Growth ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Higher Order ◽

Boundary Properties ◽

Multi Phase

Download Full-text

An existence and uniqueness result for a phase-field model of diffusion-induced grain-boundary motion

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210500001414 ◽

2001 ◽

Vol 131 (6) ◽

pp. 1323-1344 ◽

Cited By ~ 3

Author(s):

Klaus Deckelnick ◽

Charles M. Elliott

Keyword(s):

Grain Boundary ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Uniqueness Result ◽

Degenerate Diffusion ◽

Boundary Motion ◽

Regularization Technique ◽

Additional Regularity ◽

Grain Boundary Motion

We consider a phase-field model for diffusion-induced grain boundary motion. The model couples a parabolic variational inequality to a degenerate diffusion equation. Using a regularization technique, we prove an existence theorem for the resulting system. We also obtain a uniqueness result, provided the solution has some additional regularity.

Download Full-text

Computer Simulation of Grain Growth in Three Dimensions by the Phase Field Model with Anisotropic Grain-Boundary Mobilities

Materials Science Forum ◽

10.4028/www.scientific.net/msf.539-543.2437 ◽

2007 ◽

Vol 539-543 ◽

pp. 2437-2442

Author(s):

Yoshihiro Suwa ◽

Yoshiyuki Saito ◽

Hidehiro Onodera

Keyword(s):

Grain Boundary ◽

Grain Growth ◽

Phase Field ◽

Large Scale ◽

Field Model ◽

Phase Field Model ◽

High Mobility ◽

Minor Component ◽

Three Dimensions ◽

A Minor

The kinetics and topology of grain growth in three dimensions were simulated using a phase-field model with anisotropic grain-boundary mobilities. In order to perform large scale calculations we applied both modifications of algorithms and parallel coding techniques to the Fan and Chen's phase-field algorithm. Kinetics of abnormal grain growth is presented. It is observed that the grains of a minor component which are at the beginning surrounded preferentially by boundaries of high mobility grow faster than the grains of a major component until the texture reverses completely. Additionally, topological results of grain structures, such as grain size distributions and grain face distributions, are discussed

Download Full-text

Dual Scale Simulation of Grain Growth Using a Multi Phase Field Model

MRS Proceedings ◽

10.1557/proc-677-aa7.14 ◽

2001 ◽

Vol 677 ◽

Cited By ~ 1

Author(s):

Ingo Steinbach ◽

Markus Apel

Keyword(s):

Grain Boundary ◽

Grain Growth ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Individual Characteristics ◽

Interfacial Stress ◽

Pinning Force ◽

Pinning Effect ◽

Multi Phase

ABSTRACTThe kinetics of grain growth in multicrystalline materials is determined by the interplay of curvature driven grain boundary motion and interfacial stress balance at the vertices of the grain boundaries. A comprehensive way to treat both effects in one model is given by the time dependent Ginzburg Landau model or phase field model. The paper presents the application of a multi phase field model, recently developed for solidification processes to grain growth of a multicrystalline structure. The specific feature of this multi phase field model is its ability to treat each grain boundary with its individual characteristics dependent on the type of the grain boundary, its orientation or the local pinning at precipitates. The pinning effect is simulated on the nanometer scale resolving the interaction of an individual precipitate with a curved grain boundary. From these simulations an effective pinning force is deduced and a model of driving force dependent grain boundary mobility is formulated accounting for the pinning effect on the mesoscopic scale of the grain growth simulation. 2-D grain growth simulations are presented.

Download Full-text