Extending phase field models of grain boundaries to three dimensions
نویسندگان
چکیده
There have been a number of approaches to the modeling of grain boundaries, all of which have limitations and advantages. Of particular interest are phase field models, which have gained popularity as their ability to compute realistic microstructures has been demonstrated. For an overview of this approach, the reader is recommended some of the review articles on this topic. [1] A basic model of grain boundaries in 2D (see [2, 3]) can be derived from the total free energy
منابع مشابه
Melting at dislocations and grain boundaries: A phase field crystal study
Dislocation and grain-boundary melting are studied in three dimensions using the phase field crystal method. Isolated dislocations are found to melt radially outward from their core, as the localized excess elastic energy drives a power-law divergence in the melt radius. Dislocations within low angle to intermediate angle grain boundaries melt similarly until an angle-dependent first-order wett...
متن کاملTo Express Required CT-Scan Resolution for Porosity and Saturation Calculations in Terms of Average Grain Sizes
Despite advancements in specifying 3D internal microstructure of reservoir rocks, identifying some sensitive phenomenons are still problematic particularly due to image resolution limitation. Discretization study on such CT-scan data always has encountered with such conflicts that the original data do not fully describe the real porous media. As an alternative attractive approach, one can recon...
متن کاملPinning effect of second-phase particles on grain growth in polycrystalline films studied by 3-D phase field simulations
Three-dimensional simulations of grain growth in thin films containing finely dispersed second-phase particles were performed using a phase field model. The simulations show that although the growth behavior of the columnar grain structures in thin films is essentially two-dimensional, the interaction between the particles and the grain boundaries is three-dimensional. Grain boundaries can ther...
متن کاملGrain coarsening in two-dimensional phase-field models with an orientation field.
In the literature, contradictory results have been published regarding the form of the limiting (long-time) grain size distribution (LGSD) that characterizes the late stage grain coarsening in two-dimensional and quasi-two-dimensional polycrystalline systems. While experiments and the phase-field crystal (PFC) model (a simple dynamical density functional theory) indicate a log-normal distributi...
متن کاملComputer Simulations Combining Finite Difference and Finite Element Methods: Solute Drag on Migrating Grain Boundaries in Three-Dimension
The current study aims to improve our fundamental understanding of solute segregation and solute drag on migrating grain boundaries (GB) in three dimensions. Computer simulation combines finite difference and finite element methods. An exemplary case study is reported, in which a spherical grain is embedded inside a cubic grain and shrinks as a result of motion by curvature, as a preliminary to...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005