GROWTH-KINETICS OF DISK-SHAPED EXTENDED DEFECTS WITH CONSTANT THICKNESS

In this work, we derive a simple analytic expression for the growth rate of disk-shaped extended defects which maintain their thickness as they grow. The analysis includes both the interface reaction and solute diffusion as limiting the growth rate. We consider both the surface energy and the matrix strain energy and assume a toroidal capture surface around the periphery of the disk in determining the rate of the interface reaction. We utilize a series of spheres to approximate a torus and thereby are able to derive a simple expression for the solute concentration near the periphery of the disk as a function of solute diffusivity and defect size.