An integrated fast Fourier transform-based phase-field and crystal plasticity approach to model recrystallization of three dimensional polycrystals

L. Chen, J. Chen, R. A. Lebensohn, Y. Z. Ji, T. W. Heo, S. Bhattacharyya, K. Chang, S. Mathaudhu, Zi-kui Liu, Long-qing Chen

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

A fast Fourier transform (FFT) based computational approach integrating phase-field method (PFM) and crystal plasticity (CP) is proposed to model recrystallization of plastically deformed polycrystals in three dimensions (3-D). CP at the grain level is employed as the constitutive description to predict the inhomogeneous distribution of strain and stress fields after plastic deformation of a polycrystalline aggregate while the kinetics of recrystallization is obtained employing a PFM in the plastically deformed grain structure. The elasto-viscoplastic equilibrium is guaranteed during each step of temporal phase-field evolution. Static recrystallization involving plasticity during grain growth is employed as an example to demonstrate the proposed computational framework. The simulated recrystallization kinetics is compared using the classical Johnson-Mehl-Avrami-Kolmogorov (JMAK) theory. This study also gives us a new computational pathway to explore the plasticity-driven evolution of 3D microstructures.

Original languageEnglish (US)
Pages (from-to)829-848
Number of pages20
JournalComputer Methods in Applied Mechanics and Engineering
Volume285
DOIs
StatePublished - Mar 1 2015

Fingerprint

Polycrystals
polycrystals
plastic properties
Fast Fourier transforms
Plasticity
Crystals
crystals
Kolmogorov theory
Kinetics
Crystal microstructure
kinetics
Grain growth
stress distribution
plastic deformation
Plastic deformation
microstructure
Microstructure

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

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title = "An integrated fast Fourier transform-based phase-field and crystal plasticity approach to model recrystallization of three dimensional polycrystals",
abstract = "A fast Fourier transform (FFT) based computational approach integrating phase-field method (PFM) and crystal plasticity (CP) is proposed to model recrystallization of plastically deformed polycrystals in three dimensions (3-D). CP at the grain level is employed as the constitutive description to predict the inhomogeneous distribution of strain and stress fields after plastic deformation of a polycrystalline aggregate while the kinetics of recrystallization is obtained employing a PFM in the plastically deformed grain structure. The elasto-viscoplastic equilibrium is guaranteed during each step of temporal phase-field evolution. Static recrystallization involving plasticity during grain growth is employed as an example to demonstrate the proposed computational framework. The simulated recrystallization kinetics is compared using the classical Johnson-Mehl-Avrami-Kolmogorov (JMAK) theory. This study also gives us a new computational pathway to explore the plasticity-driven evolution of 3D microstructures.",
author = "L. Chen and J. Chen and Lebensohn, {R. A.} and Ji, {Y. Z.} and Heo, {T. W.} and S. Bhattacharyya and K. Chang and S. Mathaudhu and Zi-kui Liu and Long-qing Chen",
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An integrated fast Fourier transform-based phase-field and crystal plasticity approach to model recrystallization of three dimensional polycrystals. / Chen, L.; Chen, J.; Lebensohn, R. A.; Ji, Y. Z.; Heo, T. W.; Bhattacharyya, S.; Chang, K.; Mathaudhu, S.; Liu, Zi-kui; Chen, Long-qing.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 285, 01.03.2015, p. 829-848.

Research output: Contribution to journalArticle

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AU - Chen, L.

AU - Chen, J.

AU - Lebensohn, R. A.

AU - Ji, Y. Z.

AU - Heo, T. W.

AU - Bhattacharyya, S.

AU - Chang, K.

AU - Mathaudhu, S.

AU - Liu, Zi-kui

AU - Chen, Long-qing

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