Article
Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals.
Department of Physics, Oakland University, Rochester, MI 48309-4487, USA.
Physical Review E (impact factor:
2.26).
12/2004;
70(5 Pt 1):051605.
pp.051605
Source: PubMed
-
Citations (0)
- Cited In (2)
-
Article: Stationary Solutions to Phase Field Crystal Equations
[show abstract] [hide abstract]
ABSTRACT: This paper is devoted to the analytical and numerical study of the stationary solutions of the one dimensional Phase Field Crystal Equation. This new model recently introduced by K. Elder and M. Grant describes phase transformations at atomistic level on large time scales. By using bifurcation methods, we investigate quantitative and qualitative properties of these solutions: multiplicity, stability, periodicity. Quite unusual bifurcation diagrams are obtained by numerical simulations. -
Article: Extracting Grain Boundaries and Macroscopic Deformations from Images on Atomic Scale.
J. Sci. Comput. 01/2008; 35:1-23.
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Keywords
basic properties
continuum field theory approach
epitaxial growth
free surfaces
modeling elastic
multiple crystal orientations
numerical simulations
reconstructive phase transitions
