Multiscale modeling and simulation of grain boundary evolution

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 3, Issue , 2003, Pages 1886-1894

  Ta'asan, S ^a   Yu, P ^a   Livshits, I ^b   Kinderlehrer, D ^a   Lee, J ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b UNIVERSITY OF CENTRAL ARKANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; MONTE CARLO METHODS; PARTIAL DIFFERENTIAL EQUATIONS; POLYCRYSTALLINE MATERIALS;

GRAIN BOUNDARY EVOLUTION; HERRING CONDITION; MONTE-CARLO POTTS MODEL; MULLINS EQUATION;

GRAIN BOUNDARIES;

EID: 0042967954     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. Anderson, M. P., Srolovitz, D. J., Grest, G. S., Sahni, P. S. Computer Simulation of Grain Growth-I. Kinetics Acta Metall., 32.5, (1984), 783-791
2. Fradkov, V.E., M.E. Glicksman, et al Topological Events in Two-dimensional Grain growth, Acta Metall. Mater., 42(8), pp. 2719-2727, 1994.
3. Fradkov, V.E., Udler D. Two Dimensional Normail Grain Growth: Topological Aspects, Advances in Physics, 43(6), pp. 739-789, 1994.
4. Fradkov, V.E. Main Regularities of 2-D Normal Growth, Material Science Forum Vols. 94-96, pp. 269-274, 1992.
5. Hassold, G. N., and Holm, E. A. A fast serial algorithm for the finite temperature quenched Potts model Computers in Physics, 7.1 (1993), 97-107.
6. Kawasaki, K., Nagai, T., and Nakashima, K. Vertex models for two-dimensional grain growth Phil. Mag. B, 60.3 (1989), 399-421.
7. Kinderlehrer, D. and Liu, C., Evolution of grain boundaries, Math. Models and Meth. Appl. Math., 11.4 (2001), 713-729.
8. Kinderlehrer D., Livshits I., Ta'asan S., A Variational Approach to Modeling and Simulation of Grain Growth Numerical Simulation. Preprint.
9. Kinderlehrer, D., Manolache, F., Livshits, I., Rollet, A., and Ta'asan, S., An approach to the mesoscale simulation of grain growth, Mat. Res. Soc. Proc. 652, (Aindow et al., eds), 2001, Y.1.5
10. Mullins, W.W. Solid surface morphologies governed by capillarity, Metal Surfaces: Structure, Energetics, and Kinetics, ASM, Cleveland, pp. 17-66, 1963.
11. Czubayko, U., Sursaeva, V. G., Gottstein, G., and Shvindlerman, L. S. Influence of triple junctions on grain boundary motion Acta Mater., 46.16 (1998), 5863-5871
12. Soares, A., Ferro, A., and Fortes, M. Computer Simulation of Grain Growth in a Bidimensional Polycrystal Scripta Metall., 19 (1985), 1491-1496.
13. Srolovitz, D. J., Anderson, M. P., Sahni, P. S., and Grest, G. S. Computer Simulation of Grain Growth-II. Grain size distribution, topology, and local dynamics Acta Metall., 32.5, (1984), 793-802
14. Yu, P., and Ta'asan, S. Large Scale Limit of Monte-Carlo Simulations of Grain Growth, Proceedings of the Second M.I.T. Conference on Computational Fluid and Solid Mechanics, Cambridge, Massachusetts, 2003. To appear.
15. Yu, P., and Ta'asan, S. Vertex Models for Computer Simulation of Grain Growth in 2D, Preprint.