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Licensed Unlicensed Requires Authentication Published by De Gruyter May 23, 2013

The Kinetics of Individual Grains in Polycrystalline Materials

Einzelkornkinetik von Polykristallinen Materialien
  • D. Zöllner , P. Streitenberger and I. Fielden
From the journal Practical Metallography


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.


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.

Translation: P. Tate

Dana Zöllner studied lectureship for grammar schools for mathematics, physics and computer science. She received her doctorate in physics in 2006 and works now as a lecturer and researcher at the Otto-von-Guericke-University Magdeburg focussing on grain growth kinetics in nanocrystalline metals.

Iain Fielden has 10 years of industrial experience and a doctorate in metallurgy. He works as a lecturer, consultant and researcher in electron microscopy, physical metallurgy and forensic engineering at Sheffield Hallam University. In 2012 he has been elected Fellow of The Royal Microscopical Society.

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Received: 2012-4-27
Accepted: 2012-5-5
Published Online: 2013-05-23
Published in Print: 2012-07-01

© 2012, Carl Hanser Verlag, München

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