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Acta Mechanica Sinica

, Volume 19, Issue 4, pp 330–339 | Cite as

The instability of the diffusion-controlled grain-boundary void in stressed solid

  • Wang Hua
  • Li Zhonghua
Article

Abstract

As atoms migrate along a void surface and grain-boundary, driven by various thermodynamic forces, the grain-boundary void changes its shape and volume. When the void changes its configuration, the free energy of the system also changes. In this article, the free energy is calculated for an evolving grain-boundary void filled with gas in a stressed solid. Then the instability conditions and the equilibrium shape of the void are determined as a function of the grain-boundary and surface energies, the void volume, the externally applied stresses, as well as the internal pressure built up by the gas filled in the void.

Key words

grain-boundary energy surface energy elastic energy surface diffusion grain-boundary diffusion void instability 

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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 2003

Authors and Affiliations

  • Wang Hua
    • 1
  • Li Zhonghua
    • 1
  1. 1.School of Civil Engineering and MechanicsShanghai Jiaotong UniversityShanghaiChina

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