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Multi-phase field study of the equilibrium state of multi-junctions

  • Wei Guo und Ingo Steinbach
Veröffentlicht/Copyright: 11. Juni 2013
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International Journal of Materials Research
Aus der Zeitschrift International Journal of Materials Research Band 101 Heft 4

Abstract

Multiple junctions between different grains of a pure material are investigated using the multi-phase field model in 2D and 3D. According to theoretical considerations of the multi-phase field model equations, there may be quasi-static solutions that depend on the ratio of the interface mobilities. Numerical calculations in 2D and 3D indicate that the system always converges to the static solution as described by Young's law independent of the interface mobilities. No quasi-static solutions are found, which is attributed to the necessity of continuous solutions within the interface region of a phase-field model. The effect of interface mobility on the dynamics of the interface angle is discussed.

Keywords: Multi-phase field models; Young's law; Mobility; Grain growth
* Correspondence address, Dr. Wei Guo, ICAMS Institute, Ruhr-University Bochum, Stiepeler Str. 129, 44801 Bochum, Germany. Tel.: +49 234 32 27211, Fax: +49 234 32 14989. E-mail:

References

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Received: 2009-10-28
Accepted: 2010-1-7
Published Online: 2013-06-11
Published in Print: 2010-04-01

© 2010, Carl Hanser Verlag, München

Artikel in diesem Heft

  1. Contents
  2. Contents
  3. Editorial
  4. Second Symposium on Phase-Field Modelling in Materials Science
  5. Basic
  6. Phase-field modeling of surface diffusion
  7. Elastic and plastic effects on solid-state transformations: A phase field study
  8. Elastic interactions in phase-field crystal models: numerics and postprocessing
  9. Phase-field modeling of solute trapping: comparative analysis of parabolic and hyperbolic models
  10. Multi-phase field study of the equilibrium state of multi-junctions
  11. Numerical study on the evolution of stress distribution in cellular microstructures
  12. Effect of surface charges on the polarization distribution in ferroelectric nanotubes
  13. Efficient and reliable finite element techniques for phase field models
  14. Applied
  15. Phase-field simulation of microstructure formation in technical magnesium alloys
  16. Phase-field modelling of gas porosity formation during the solidification of aluminium
  17. Application of the phase-field method in predicting gas bubble microstructure evolution in nuclear fuels
  18. Simulation of reaction-diffusion phenomena occurring between Ir coating and Ni–Al alloy substrate using phase-field model
  19. Phase-field simulation of γ(A1) + γ′(L12) + γ′′(D022) three-phase microstructure formation in Ni-base superalloys
  20. Phase field modelling of austenite formation from ultrafine ferrite–carbide aggregates in Fe–C
  21. Phase field simulation of austenite grain growth in the HAZ of microalloyed linepipe steel
  22. Dual-scale phase-field simulation of grain growth upon reheating of a microalloyed line pipe steel
  23. Phase field simulation of grain growth with grain boundary segregation
  24. Notification
  25. DGM News
https://doi.org/10.3139/146.110298
Schlagwörter für diesen Artikel
Multi-phase field models; Young's law; Mobility; Grain growth

Artikel in diesem Heft

  1. Contents
  2. Contents
  3. Editorial
  4. Second Symposium on Phase-Field Modelling in Materials Science
  5. Basic
  6. Phase-field modeling of surface diffusion
  7. Elastic and plastic effects on solid-state transformations: A phase field study
  8. Elastic interactions in phase-field crystal models: numerics and postprocessing
  9. Phase-field modeling of solute trapping: comparative analysis of parabolic and hyperbolic models
  10. Multi-phase field study of the equilibrium state of multi-junctions
  11. Numerical study on the evolution of stress distribution in cellular microstructures
  12. Effect of surface charges on the polarization distribution in ferroelectric nanotubes
  13. Efficient and reliable finite element techniques for phase field models
  14. Applied
  15. Phase-field simulation of microstructure formation in technical magnesium alloys
  16. Phase-field modelling of gas porosity formation during the solidification of aluminium
  17. Application of the phase-field method in predicting gas bubble microstructure evolution in nuclear fuels
  18. Simulation of reaction-diffusion phenomena occurring between Ir coating and Ni–Al alloy substrate using phase-field model
  19. Phase-field simulation of γ(A1) + γ′(L12) + γ′′(D022) three-phase microstructure formation in Ni-base superalloys
  20. Phase field modelling of austenite formation from ultrafine ferrite–carbide aggregates in Fe–C
  21. Phase field simulation of austenite grain growth in the HAZ of microalloyed linepipe steel
  22. Dual-scale phase-field simulation of grain growth upon reheating of a microalloyed line pipe steel
  23. Phase field simulation of grain growth with grain boundary segregation
  24. Notification
  25. DGM News
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