Finite element analysis for surface diffusion-controlled shape instabilities of plate-like grains

  • Huang P
  • Li Z
  • Sun J
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Abstract

Based on classical theory of surface diffusion and evaporation- condensation, a finite element program is developed to simulate the unstable shape evolution of plate-like grains. The program is used to analyze thermal grooving on a polycrystalline surface and compared with a non-linear solution and finite difference analysis. It shows that the finite element method used is robust, accurate and efficient. Then, the shape evolution kinetics of the plate-like grains are simulated as a function of the thermal grooving angle θ at the grain boundary-surface junctions and the initial aspect ratio of the plate β (plate width to thickness). When θ = 0 (without internal boundary), the plate-like grain will evolve into cylinders directly. When an internal boundary exists, there is a critical thermal grooving angle θminfor given β. If θ10, its effect can be neglected. © 2001 Elsevier Science B.V.

Author-supplied keywords

  • Finite element method
  • Grain boundary
  • Instability
  • Mobility
  • Surface diffusion

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Authors

  • Peizhen Huang

  • Zhonghua Li

  • Jun Sun

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