Journal of Materials Science

, Volume 46, Issue 18, pp 6054–6064 | Cite as

Mesoscopic nonequilibrium thermodynamics treatment of the grain boundary thermal grooving induced by the anisotropic surface drift diffusion

  • Oncu Akyildiz
  • Ersin Emre Oren
  • Tarik Omer OgurtaniEmail author


A systematic study based on the self-consistent dynamical simulations is presented for the grain boundary thermal grooving problem by strictly following the irreversible thermodynamic theory of surfaces and interfaces with singularities [T. O. Ogurtani, J. Chem. Phys. 124, 144706 (2006)]. This approach furnishes us to have auto-control on the otherwise free-motion of the grain boundary triple junction without presuming any equilibrium dihedral (wetting) angles at the edges. The effects of physicochemical properties and the anisotropic surface diffusivity on the transient grooving behavior, which takes place at the early stage of the scenario, were considered. We analyzed the experimental thermal grooving data reported for tungsten in the literature, and compared them with the carried simulation results. This investigation showed that the observed changes in the dihedral angles are strictly connected to the transient behavior of the simulated global system, and manifest themselves at the early stage of the thermal grooving phenomenon.


Grain Boundary Triple Junction Groove Width Groove Depth Transient Regime 



Grain boundary


Triple junction


Atomic force microscopy


Wetting parameter


Boundary conditions



Thanks are due Dr. Aytac Celik of METU for his valuable comments on the article. We also thank the anonymous reviewer, who pointed out the critical role played by the angular averaging procedure in obtaining the effective isotropic failure time for comparison. This work was partially supported by the Turkish Scientific and Technological Research Council, TUBITAK through a research Grant No.107M011.


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Oncu Akyildiz
    • 1
  • Ersin Emre Oren
    • 2
  • Tarik Omer Ogurtani
    • 1
    Email author
  1. 1.Department of Metallurgical and Materials EngineeringMiddle East Technical UniversityAnkaraTurkey
  2. 2.Department of Biomedical EngineeringTOBB University of Economics and TechnologyAnkaraTurkey

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