Journal of Applied Physics · 1957 · 2.6K citations · 4 references
EngineeringMaterials EngineeringMaterials ScienceHeat TransferInterface ScienceThermodynamicsGrain GrowthHeat Transfer FundamentalsHeat Transfer ModelingInterface ModelingSurface ThermodynamicsThermal Properties Of MaterialsGrain BoundariesGrain Boundary ModelingGrain Boundary PhysicsGrain Growth KineticsGroovingProportionalitySurface Diffusion DynamicsSurface Topography Modeling
A theory is presented to describe the development of surface grooves at grain boundaries in heated polycrystals. The theory models grooving through evaporation‑condensation and surface diffusion using the Gibbs‑Thomson relation, assumes orientation‑independent interface properties, and evaluates proportionality constants to identify the dominant process. The model predicts a time‑independent groove shape with linear dimensions scaling as t½ for each mechanism, and the calculated constants agree in order of magnitude with observed grooving speeds and profiles.
A theory is presented which describes the development of surface grooves at the grain boundaries of a heated polycrystal. The mechanisms of evaporation-condensation and surface diffusion are discussed with the use of the Gibbs-Thompson formula and the assumption that the properties of an interface do not depend on its orientation. For the idealized case in which only one of the mechanisms is operative, the groove profile is shown to have a time-independent shape whose linear dimensions are proportional to t½ for evaporation-condensation, and to t½ for surface diffusion. The proportionality constants are evaluated, and criteria are developed which permit one to estimate which process predominates in practice. Order of magnitude agreement is obtained with estimates of actual grooving speeds and profiles.
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T. A. Read · Physics Today · 1949 · 1.2K citations
Self-diffusion in sintering of metallic particles
G. C. Kuczynski · JOM · 1949 · 390 citations
Natural Sciences, Materials Engineering, Materials Science +12