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Finite Element Simulations of 3D Zener Pinning
Journal article   Peer reviewed

Finite Element Simulations of 3D Zener Pinning

Julian H. Driver, Claire Maurice, G. Couturier, R. Fortunier and R. Doherty
Materials science forum, v 467-470(II), pp 1009-1018
15 Oct 2004
DOI: https://doi.org/10.4028/www.scientific.net/MSF.467-470.1009

Abstract

Grain Boundary-Particle Interaction Simulation Zener Pinning Grain Growth Kinetics
An original model, based on a variational formulation for boundary motion by viscous drag, is developed to simulate single grain boundary motion and its interaction with particles. The equations are solved by a 3D finite element method to obtain the instantaneous velocity at each triangular element on the boundary surface, before, during and after contact with one or more particles. After validation by comparison with some simple, analytical and numerical cases, it is adapted to model curvature driven grain growth. For single phase material, the single grain boundary model closely matches the grain coarsening kinetics of a 3D multi boundary vertex model. In the presence of spherical incoherent particles the growth rate slows down to give a growth exponent of 2.5. When the boundary is anchored there is a significantly higher density, by a factor of 4, of particles on the boundary than the density predicted by the classic Zener analysis, and many particles exert less than this Zener drag force. As a result the Zener drag is increased by a factor of about 2.2. The limiting grain radius is compared with some experimental results.

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Collaboration types
Domestic collaboration
International collaboration
Web of Science research areas
Crystallography
Materials Science, Multidisciplinary
Metallurgy & Metallurgical Engineering
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