Paper Title:
Finite Element Simulations of 3D Zener Pinning
  Abstract

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.

  Info
Periodical
Materials Science Forum (Volumes 467-470)
Edited by
B. Bacroix, J.H. Driver, R. Le Gall, Cl. Maurice, R. Penelle, H. Réglé and L. Tabourot
Pages
1009-1018
DOI
10.4028/www.scientific.net/MSF.467-470.1009
Citation
G. Couturier, C. Maurice, R. Fortunier, R. Doherty, J. H. Driver, "Finite Element Simulations of 3D Zener Pinning", Materials Science Forum, Vols. 467-470, pp. 1009-1018, 2004
Online since
October 2004
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Tae Wan Ku, June Key Lee, Beom Soo Kang
Abstract:A numerical approach for forming simulation and manufacturing of micro part, based on the elastic and the rigid-plastic finite element...
61
Authors: Paulo Rangel Rios, Gláucio S. Fonseca
Abstract:Grain boundary pinning by particles is widely used to prevent grain growth during heat treatment in a variety of commercial alloys. Its...
3907
Authors: Hong Mei Cheng, Chuan Zhen Huang, Han Lian Liu, Bin Zou, Hong Tao Zhu, Jun Zhao
Abstract:A Monte Carlo Potts′ model with different ratios of grain boundary energy is proposed for the sintering process of two-phase nanocomposite...
2443
Authors: Mahmoud Farzin, Reza Jafari Nedoushan, Mohammad Mashayekhi
Abstract:A constitutive model is proposed for simulations of hot forming processes. Dominant mechanisms in hot forming including inter-granular...
556
Authors: Elizabeth A. Holm, Stephen M. Foiles
Wednesday
Abstract:Molecular dynamics simulations of bicrystals show that grain boundaries undergo a thermal roughening transition, and the grain boundary...
415