The Kinetics of Individual Grains in Polycrystalline Materials
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D. Zöllner
Abstract
Based on a mean-field approach a 3D grain growth model is presented which predicts the growth history of individual grains of a grain ensemble in terms of linear grain size and time. The analytical results are compared with the results of numerical simulations using the Monte-Carlo-Potts model. In addition, based on a stochastic model of grain growth, the diffusivity of the very discontinuous movements of individual quadruple and triple junctions is set in relation to the rate of growth. This allows the calculation of the average growth law of an ensemble of grains solely from the measurement of the stochastic growth kinetics of individual grains. The results from simulation and theory are compared with experimental results of in-situ scanning electron microscopy observations of grain growth in polycrystalline metals.
Kurzfassung
Vorgestellt wird ein 3D-Kornwachstumsmodell, das ausgehend von einem Mean-Field Ansatz eine Vorhersage der Wachstumskinetik individueller Körner eines Ensembles als Zusammenhang zwischen linearer Korngröße und Zeit ermöglicht. Die analytischen Ergebnisse werden mit numerischen Simulationsergebnissen aus dem Monte-Carlo-Potts-Modell verglichen. Anschließend wird basierend auf einem stochastischen Kornwachstumsmodell die Diffusivität der sehr diskontinuierlichen Bewegungen einzelner Quadrupel- und Triple-Junctions in Beziehung zur Wachstumsrate gesetzt. Dies erlaubt die Berechnung des mittleren Wachstumsgesetztes eines Kornensembles ausschließlich aus der Messung der stochastischen Wachstumskinetik einzelner Körner. Die Resultate aus Simulation und Theorie werden mit experimentellen Ergebnissen von in-situ-Rasterelektronenmikroskopie-Beobachtungen von Kornwachstum in polykristallinen Metallen verglichen.
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© 2012, Carl Hanser Verlag, München
Artikel in diesem Heft
- Contents/Inhalt
- Contents
- Editorial
- Editorial
- Technical Contributions/Fachbeiträge
- Microstructures of Erbium Modified Aluminum-Copper Alloys
- Vibratory Polishing of a Nickel-Based Superalloy (MAR 247) Using VibroMet 2
- The Kinetics of Individual Grains in Polycrystalline Materials
- Fracture Investigation on a „Rotating Air Seal“ of an Aircraft Engine
- Meeting Diary/Veranstaltungskalender
- Meeting Diary
Artikel in diesem Heft
- Contents/Inhalt
- Contents
- Editorial
- Editorial
- Technical Contributions/Fachbeiträge
- Microstructures of Erbium Modified Aluminum-Copper Alloys
- Vibratory Polishing of a Nickel-Based Superalloy (MAR 247) Using VibroMet 2
- The Kinetics of Individual Grains in Polycrystalline Materials
- Fracture Investigation on a „Rotating Air Seal“ of an Aircraft Engine
- Meeting Diary/Veranstaltungskalender
- Meeting Diary
