Abstract
An analytical study is presented of the quasistationary volume-diffusion-controlled shrinkage kinetics of an isolated spherical pore situated on an otherwise infinite planar grain boundary. The vacancy concentration along the boundary is taken to be everywhere constant, whereas that in the solid along the pore surface is assumed to be a function of position. An exact solution of the Laplace equation is used to evaluate the current of vacancies from the pore to the boundary. As expected, it is found that the ratio of the instantaneous vacancy current emanating from a pore situated on a grain boundary to that associated with an intragranular pore having the same size, but located far from any boundaries, is generally greater than unity. A quantitative description is given of the dependence of this ratio upon the nature of the vacancy concentration assumed to exist in the solid along the surface of the grain-boundary pore.
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