1. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Plot of mobility versus x-position (using Eq. (7)) for mobility constants: α = 0.1 and α = 4.0 × 10−5

2. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Hexagonal grain elements and definition of orientation angle (ϕ)

3. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Elliptical (n = 2) Wulff plot with surface energy determination

4. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Schematic illustrating the computation of the grain aspect ratio (A/B)

5. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Lattice independent results, showing the convergence of average grain area for a resolution of N = 500 (isothermal, isotropic, Q = 60, t = 1000 MCS)

6. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
The slope of a straight fit through a plot of log R versus log (t) by least squares fitting provides an estimate for the inverse grain growth exponent (1/r). As shown, to a good approximation, the slope (0.49) is in agreement with the power-law prediction (isothermal, isotropic, Q = 60, t = 1000 MCS, N = 500).

7. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
The evolution of the CV at different simulation temperatures (isothermal, isotropic, N = 500, Q = 60, t = 1000 MCS)

8. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Contours of anisotropic grain growth evolution (isothermal; anisotropic; Q = 60; t = 0 MCS, 100 MCS, 1000 MCS, 4000 MCS; N = 500). (a) t = 0 MCS; (b) t = 100 MCS; (c) t = 1000 MCS; (d) t = 4000 MCS.

9. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Isotropic and anisotropic grain growth subject to a mobility gradient (α = 0.1, α = 4.0 × 10−5; anisotropic; Q = 60; t = 4000 MCS; N = 500). (a) Isotropic (α = 0.1); (b) isotropic (α = 4.0 × 10−5); (c) isotropic (α = 0.1); (d) isotropic (α = 4.0 × 10−5).

10. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Average grain area (A) as a function of x-position showing the effect of a mobility gradient (α = 0.1; isotropic; t = 1000 MCS, t = 4000 MCS; Q = 60; N = 500; NDIV = 100)

11. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Average grain area (A) as a function of x-position for isotropic/isothermal conditions (M = 1.0; t = 100 MCS, 500 MCS, 1000 MCS; Q = 60; N = 500; NDIV = 100)

12. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Average grain area along the x-axis with changing mobility for both isotropic and anisotropic cases (t = 4000 MCS; Q = 60; N = 500; NDIV = 100); (a) isotropic and (b) anisotropic (see online figure for color)

13. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Plot of the average AR as a function of position for both isotropic and anisotropic cases (α=0.1; t = 4000 MCS; Q = 60; N = 500; NDIV = 100)

14. Date of download: 12/31/2017
Copyright © ASME. All rights reserved.
From: Simulations of Anisotropic Grain Growth Subject to Thermal Gradients Using Q-State Monte Carlo
J. Eng. Mater. Technol. 2013;135(4): doi: /
Figure Legend:
Plot of orientation angle distribution for the anisotropic (n = 2) case pertaining to three different temperature profiles: isothermal, α = 0.1, and α = 4.0 × 10−5 (t = 4000 MCS; Q = 60; N = 500)