Coarsening in polycrystalline material using quaternions.

@article{Biswas2011CoarseningIP,
  title={Coarsening in polycrystalline material using quaternions.},
  author={Santidan Biswas and Indradev Samajdar and Arunansu Haldar and Anirban Sain},
  journal={Journal of physics. Condensed matter : an Institute of Physics journal},
  year={2011},
  volume={23 7},
  pages={
          072202
        }
}
We develop a phase field model to study the phenomenon of recrystallization and grain coarsening in polycrystalline material. A unique feature of our model is that it can time-evolve the actual orientation field of a material, expressed in terms of quaternions, a four-dimensional non-conserved vector field. The quaternions evolve in time following a Langevin dynamics. The free energy that drives the evolution contains bulk energy for various preferred grain types and anisotropic grain boundary… 
View on PubMed
doi.org
2 Citations
Methods Citations
1

Figures from this paper

2 Citations

Citation Type

Citation Type

Grain polydispersity and coherent crystal reorientations are features to foster stress hotspots in polycrystalline alloys under load
TLDR
A multiscale computational formalism is developed to capture the collective mechanical response of polycrystalline microstructures at unprecedented length scales and finds that for an averaged grain size, the mechanical response is highly dependent on the grain size distribution.
Combining microstructural characterization with crystal plasticity and phase-field modelling for the study of static recrystallization in pure aluminium

References

SHOWING 1-10 OF 23 REFERENCES
A phase–field paradigm for grain growth and recrystallization
  • M. Lusk
  • Materials Science
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1999
A new model is presented for the mesoscale modelling of grain–boundary motion. Grain boundaries are treated as regions of disorder across which orientation parameters change. The framework uses a set…
Phase field theory of polycrystalline solidification in three dimensions
A phase field theory of polycrystalline solidification is presented that describes the nucleation and growth of anisotropic particles with different crystallographic orientation in three dimensions.…
A continuum model of grain boundaries
Phase field study of the effect of grain boundary energy anisotropy on grain growth
Vector-valued phase field model for crystallization and grain boundary formation
Recrystallization kinetics: A coupled coarse-grained dislocation density and phase-field approach
During recrystallization, dislocation-poor grains grow and invade the heavily deformed dislocation-rich matrix. In this work, we develop a coupled dislocation density and phase-field method to model…
A numerical algorithm for the solution of a phase-field model of polycrystalline materials
Phase-Field Models for Microstructure Evolution
■ Abstract The phase-field method has recently emerged as a powerful computational approach to modeling and predicting mesoscale morphological and microstructure evolution in materials. It describes…
Efficient numerical algorithm for multiphase field simulations.
  • S. Vedantam, B. Patnaik
  • Materials Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2006
TLDR
This work presents an approach by which the time and memory requirements are drastically reduced relative to standard algorithms and allows the use of an unlimited number of phase-field variables to perform simulations without the associated burden on computational time or memory.
Coarsening dynamics of biaxial nematic liquid crystals.
TLDR
A rich variety of coarsening behavior is found, including the presence of one, two, or three of the half-integer classes at late times, depending on the relative values of the elastic constants and the resulting energetics of the decay channels of the defects.
...
1
2
3
...