Void nucleation and growth in irradiated polycrystalline metals

A phase-field model

Paul C. Millett, Srujan Rokkam, Anter El-Azab, Michael Tonks, Dieter Wolf

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

We present a phase-field model for void formation in polycrystalline metals with vacancy concentrations exceeding the thermal equilibrium values. By incorporating a coupled set of Cahn-Hilliard and Allen-Cahn equations, the model captures several relevant processes including vacancy annihilation and nucleation at grain boundaries (GBs), vacancy diffusion toward sinks (including GBs and void surfaces) as well as void nucleation and growth due to vacancy supersaturations occurring in the grain interiors. Illustrative results are presented that characterize the rate of annihilation of the vacancy population at the GB sinks, as well as the formation of void denuded zones adjacent to GBs in bicrystalline and polycrystalline samples, the width of which is found to depend on both the vacancy diffusivity and the vacancy production rate.

Original languageEnglish (US)
Article number064003
JournalModelling and Simulation in Materials Science and Engineering
Volume17
Issue number6
DOIs
StatePublished - Nov 9 2009

Fingerprint

Phase Field Model
Vacancy
Voids
Nucleation
Vacancies
voids
Metals
nucleation
Grain Boundary
metals
Grain boundaries
grain boundaries
sinks
Annihilation
Allen-Cahn Equation
Cahn-Hilliard
Thermal Equilibrium
Supersaturation
Diffusivity
supersaturation

All Science Journal Classification (ASJC) codes

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

Cite this

Millett, Paul C. ; Rokkam, Srujan ; El-Azab, Anter ; Tonks, Michael ; Wolf, Dieter. / Void nucleation and growth in irradiated polycrystalline metals : A phase-field model. In: Modelling and Simulation in Materials Science and Engineering. 2009 ; Vol. 17, No. 6.
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Void nucleation and growth in irradiated polycrystalline metals : A phase-field model. / Millett, Paul C.; Rokkam, Srujan; El-Azab, Anter; Tonks, Michael; Wolf, Dieter.

In: Modelling and Simulation in Materials Science and Engineering, Vol. 17, No. 6, 064003, 09.11.2009.

Research output: Contribution to journalArticle

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T1 - Void nucleation and growth in irradiated polycrystalline metals

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AU - Millett, Paul C.

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AU - Tonks, Michael

AU - Wolf, Dieter

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AB - We present a phase-field model for void formation in polycrystalline metals with vacancy concentrations exceeding the thermal equilibrium values. By incorporating a coupled set of Cahn-Hilliard and Allen-Cahn equations, the model captures several relevant processes including vacancy annihilation and nucleation at grain boundaries (GBs), vacancy diffusion toward sinks (including GBs and void surfaces) as well as void nucleation and growth due to vacancy supersaturations occurring in the grain interiors. Illustrative results are presented that characterize the rate of annihilation of the vacancy population at the GB sinks, as well as the formation of void denuded zones adjacent to GBs in bicrystalline and polycrystalline samples, the width of which is found to depend on both the vacancy diffusivity and the vacancy production rate.

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