Grain-Boundary Grooving by Surface Diffusion for Finite Surface Slopes

Abstract

The nonlinear fourth‐order differential equation which determines the shape of a grain‐boundary groove forming by surface diffusion is solved numerically for groove root slopes ranging from 0 to 4. The groove width is within five percent of the small‐slope groove width for all groove root slopes calculated. The groove depth departs by more than ten percent from the small‐slope depth for groove root slopes greater than about 0.7.