Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T02:33:53.052Z Has data issue: false hasContentIssue false
  • English
  • Français

Dual Scale Simulation of Grain Growth Using a Multi Phase Field Model

Published online by Cambridge University Press:  21 March 2011

Ingo Steinbach  and
Markus Apel
Ingo Steinbach
Affiliation:
ACCESS e.V. RWTH-Aachen
Markus Apel
Affiliation:
ACCESS e.V. RWTH-Aachen
Get access

Abstract

The kinetics of grain growth in multicrystalline materials is determined by the interplay of curvature driven grain boundary motion and interfacial stress balance at the vertices of the grain boundaries. A comprehensive way to treat both effects in one model is given by the time dependent Ginzburg Landau model or phase field model. The paper presents the application of a multi phase field model, recently developed for solidification processes to grain growth of a multicrystalline structure. The specific feature of this multi phase field model is its ability to treat each grain boundary with its individual characteristics dependent on the type of the grain boundary, its orientation or the local pinning at precipitates. The pinning effect is simulated on the nanometer scale resolving the interaction of an individual precipitate with a curved grain boundary. From these simulations an effective pinning force is deduced and a model of driving force dependent grain boundary mobility is formulated accounting for the pinning effect on the mesoscopic scale of the grain growth simulation. 2-D grain growth simulations are presented.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 677: Symposium AA – Advances in Materials Theory and Modeling–Bridging Over Multiple-Length and Time Scales , 2001 , AA7.14
Copyright
Copyright © Materials Research Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1 Fix, G.J., in Free Boundary Problems: Theory and Applications, Vol. II, edited by Fasano, A. and Primicerio, M. (Piman, Boston, 1983), p. 580 Google Scholar
2 Wheeler, A.A., Boettinger, W.J., Fadden, G.B. Mc; Phys. Rev. E 47 (1993) 1893 Google Scholar
3 Tiaden, J., Nestler, B., Diepers, H.J. and Steinbach, I.; Physica D 15, 73 (1998)Google Scholar
4 Diepers, H.J., Beckermann, C., Steinbach, I.; Acta Mat. 47 (1999) pp 3663 Google Scholar
5 Beckermann, C., Diepers, H.J., Steinbach, I., Karma, A., Tong, X.; J. of Comp. Phys. 154 (1999) pp 468 Google Scholar
6. Kim, S.G., Kim, W.T., Suzuki, T., Phys. Rev. E 60 (1999) pp 7186 Google Scholar
7 Kobayashi, R.; Physica D 63 (1993) 410 Google Scholar
8 Warren, J.A., Boettinger, W.J. (1995): Acta Metall. Mater. Vol. 43, No. 2, pp. 689–703 Google Scholar
9. Karma, A. and Rappel, W.-J.; Phys. Rev. E53, R3017 (1996); Phys. Rev. E57, 4323 (1998)Google Scholar
10 Provatas, N., Goldenfeld, N. and Dantzig, J.; Phys. Rev. Lett. 80, 3308 (1998); J. Comp. Phys. 148, 265 (1999)Google Scholar
11 Li, D.Y., Chen, L.Q. (1997); Acta Materialica, 45, p. 2435 Google Scholar
12 Wang, Y., Banerjee, D., Su, C.C., Khatchaturyan, A.G. (1998); Acta Met. Mater., Vol. 46, No.9, pp. 2983–3001 Google Scholar
13 Grafe, U., Bättger, B., Tiaden, J., Fries, S.G.; Scripta Mat. 42 (2000) pp 1179 Google Scholar
14 Steinbach, I., Pezzolla, F., Nestler, B., Seeβelberg, M., Prieler, R., Schmitz, G.J., Rezende, J.L.L. (1996); Physica D 94, pp. 135–147 Google Scholar
15 Steinbach, I., Pezzolla, F.; Physica D (1999) pp 385 Google Scholar
16 Gottstein, G., Shvindlerman, L.S.; “Grain boundary Migration in Metals” CRC Press (1999)Google Scholar