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Testing a curvature driven moving finite element grain growth model with the generalized three dimensional von Neumann relation

  • Fatma Uyar , Seth R. Wilson , Jason Gruber , Sukbin Lee , Stephen Sintay , Anthony D. Rollett and David J. Srolovitz
Published/Copyright: June 11, 2013
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 100 Issue 4

Abstract

The von Neumann – Mullins relation has been extended to higher dimensions by MacPherson and Srolovitz. Their exact solution relates the rate of volume change of an individual grain in a 3-dimensional isotropic polycrystal to its mean width and total length of triple lines (assuming isotropic boundaries). The objective of this study is to verify that grains in a moving finite element grain growth model obey this law. Algorithms have been developed in order to calculate mean width of individual grains in digital microstructures for which the grain structure is discretized with both volumetric and surface meshes. Theoretical rate predictions were obtained from the measured mean widths and triple line lengths. Good agreement was found between growth rates measured in the simulations and the predictions of MacPherson – Srolovitz theory for the cases of an isolated shrinking sphere, individual grains in a digitally generated coarse polycrystal, and individual grains in a microstructure reconstructed from serial sectioning of stabilized cubic zirconia. Departures from this relationship appeared to be related to the grain shape.

Keywords: Grain growth; Finite element; Mean width; Simulation
* Correspondence address, Fatma Uyar, Carnegie Mellon University, 5000 Forbes Ave, Materials Science & Engineering Department, Pittsburgh, PA 15213, USA, Tel.: +1 412 736 97 14, Fax: +1 412 268 75 96, E-mail:

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Received: 2008-8-26
Accepted: 2009-2-10
Published Online: 2013-06-11
Published in Print: 2009-04-01

© 2009, Carl Hanser Verlag, München

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https://doi.org/10.3139/146.110075
Keywords for this article
Grain growth; Finite element; Mean width; Simulation

Articles in the same Issue

  1. Contents
  2. Contents
  3. Editorial
  4. Prof. Dr. Günter Gottstein
  5. Feature
  6. Interface Migration in Metals (IMM):“Vingt Ans Après” (Twenty Years Later)
  7. Basic
  8. On the solute-defect interaction in the framework of a defactant concept
  9. A new model of dynamic recovery for Stage III of pure fcc metals without cross slip
  10. Sequence of distinct microyielding stages of the monocrystalline nickel-base superalloy CMSX-6 at high temperatures
  11. Comparison of texture evolution in fcc metals predicted by various grain cluster homogenization schemes
  12. Recrystallization initiated by low-temperature grain boundary motion coupled to stress
  13. Sub-grain boundary mobilities during recovery of binary Al–Mn alloys
  14. Concentration phase transition associated with grain boundary segregation in systems with restricted solubility
  15. Second-order faceting–roughening of the tilt grain boundary in zinc
  16. A model of grain boundary diffusion in polycrystals with evolving microstructure
  17. Linear measures for polyhedral networks
  18. Testing a curvature driven moving finite element grain growth model with the generalized three dimensional von Neumann relation
  19. Grain-boundary source/sink behavior for point defects: An atomistic simulation study
  20. Applied
  21. Deformation modes and anisotropy in magnesium alloy AZ31
  22. Control of recrystallisation texture and texture-related properties in industrial production of aluminium sheet
  23. The combined effect of static recrystallization and twinning on texture in magnesium alloys AM30 and AZ31
  24. Comparison of damage development depending on the local microstructure in low alloyed Al-TRIP-steels, IF steel and a DP steel
  25. Nanoindentation of Ti50Ni48Fe2 and Ti50Ni40Cu10 shape memory alloys
  26. Early detection of crack initiation sites in TiAl alloys during low-cycle fatigue at high temperatures utilizing digital image correlation
  27. Superplastic failure mode in ultrafine grained magnesium alloy AZ31
  28. High temperature magnetic strengthening in iron-based alloys: Magnetic effects on deformation and fracture, revisited
  29. Notification
  30. DGM News
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