Grain-Boundary Grooving by Surface Diffusion for Finite Surface Slopes
- 1 January 1971
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 42 (1), 463-467
- https://doi.org/10.1063/1.1659625
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.Keywords
This publication has 10 references indexed in Scilit:
- Surface diffusion of oxides (A review)Journal of Nuclear Materials, 1969
- Theory of sintering of wires by surface diffusionActa Metallurgica, 1968
- Coalescence of Two Spheres by Surface DiffusionJournal of Applied Physics, 1966
- Extended analysis of surface scratch smoothingActa Metallurgica, 1966
- Morphological Changes of a Surface of Revolution due to Capillarity-Induced Surface DiffusionJournal of Applied Physics, 1965
- Theory of the decay of a surface scratch to flatnessActa Metallurgica, 1962
- Theory of linear facet growth during thermal etchingPhilosophical Magazine, 1961
- Flattening of a Nearly Plane Solid Surface due to CapillarityJournal of Applied Physics, 1959
- The effect of thermal grooving on grain boundary motionActa Metallurgica, 1958
- Theory of Thermal GroovingJournal of Applied Physics, 1957