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A numerical analysis of intergranular penny-shaped microcrack shrinkage controlled by coupled surface and interface diffusion

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Abstract

An axisymmetric finite-element method is developed and applied to simulate healing evolution of intergranular penny-shaped microcracks. In the finite-element method, grain-boundary diffusion and surface diffusion are coupled by the boundary conditions at the triple circle of the penny-shaped microcrack surface and the grain-boundary plane. Matter is transported to the triple circle by grain-boundary diffusion and is taken away from the microcrack tips and deposited onto the microcrack surfaces by surface diffusion, resulting in shrinkage of the intergranular microcracks. The numerical simulations show that the evolution processes of intergranular microcracks are controlled by equilibrium dihedral angle (defined by surface and grain-boundary tensions), microcrack spacing, ratio of grain-boundary diffusion to surface diffusion, and the applied pressure.

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Authors and Affiliations

  1. the Department of Structure Engineering & Mechanics, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, People’s Republic of China

    Peizhen Huang (Associate Professor, Post-doctoral fellow)

  2. the State Key Laboratory for Mechanical Behavior of Materials, School of Materials Science and Engineering, Xi’an Jiaotong University, 710049, Xi’an, People’s Republic of China

    Peizhen Huang (Associate Professor, Post-doctoral fellow) & Jun Sun (Professor)

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  1. Peizhen Huang
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  2. Jun Sun
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Huang, P., Sun, J. A numerical analysis of intergranular penny-shaped microcrack shrinkage controlled by coupled surface and interface diffusion. Metall Mater Trans A 35, 1301–1309 (2004). https://doi.org/10.1007/s11661-004-0304-4

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  • DOI: https://doi.org/10.1007/s11661-004-0304-4

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