Development of a grain boundary pinning model that considers particle size distribution using the phase field method

Michael Tonks, Yongfeng Zhang, Aaron Butterfield, Xian Ming Bai

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

In this work, we expand a grain boundary (GB) pinning model that considers a range of different spatial distributions of particles to also account for a distribution of particle sizes. We begin by developing a phase field model that describes GB and pore interactions and verify it by comparing to molecular dynamics simulations. We then develop an analytical pinning model that considers the impact of the particle size distribution, in terms of the mean and standard deviation of the particle radius. The analytical model is verified by comparing to simulation results of our phase field model and those of a simple Monte Carlo model. A significant finding from the model is that the mean value of the resistive pressure decreases with increasing standard deviation of the particle radius.

Original languageEnglish (US)
Article number045009
JournalModelling and Simulation in Materials Science and Engineering
Volume23
Issue number4
DOIs
StatePublished - Jun 1 2015

Fingerprint

Phase Field
Grain Boundary
particle size distribution
Particle Size
Particle size analysis
Grain boundaries
grain boundaries
Phase Field Model
Standard deviation
Radius
Mean deviation
Spatial Distribution
standard deviation
Model
Mean Value
Analytical Model
Molecular Dynamics Simulation
Expand
Verify
radii

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Computer Science Applications

Cite this

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abstract = "In this work, we expand a grain boundary (GB) pinning model that considers a range of different spatial distributions of particles to also account for a distribution of particle sizes. We begin by developing a phase field model that describes GB and pore interactions and verify it by comparing to molecular dynamics simulations. We then develop an analytical pinning model that considers the impact of the particle size distribution, in terms of the mean and standard deviation of the particle radius. The analytical model is verified by comparing to simulation results of our phase field model and those of a simple Monte Carlo model. A significant finding from the model is that the mean value of the resistive pressure decreases with increasing standard deviation of the particle radius.",
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Development of a grain boundary pinning model that considers particle size distribution using the phase field method. / Tonks, Michael; Zhang, Yongfeng; Butterfield, Aaron; Bai, Xian Ming.

In: Modelling and Simulation in Materials Science and Engineering, Vol. 23, No. 4, 045009, 01.06.2015.

Research output: Contribution to journalArticle

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