Asymptotic and uncertainty analyses of a phase field model for void formation under irradiation

N. Wang, S. Rokkam, Thomas Hochrainer, M. Pernice, A. El-Azab

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We perform asymptotic analysis and uncertainty quantification of a phase field model for void formation and evolution in materials subject to irradiation. The parameters of the phase field model are obtained in terms of the underlying material specific quantities by matching the sharp interface limit of the phase field model with the corresponding sharp interface theory for void growth. To evaluate the sensitivity of phase field simulations to uncertainties in input parameters we quantify the predictions using the stochastic collocation method. Uncertainties arising from material parameters are investigated based on available experimental and atomic scale data. The results of our analysis suggest that the uncertainty in the formation and migration energies of vacancies are found to have a strong influence on the void volume fraction (or porosity). In contrast, the uncertainty resulting from the void surface energy has minimal affect. The analysis also shows that the model is consistent in the sense that its predictions do not drastically change as a result of small variations of the model input parameters. © 2014 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)165-175
JournalComputational materials science
Volume89
DOIs
Publication statusPublished - 2014

Fingerprint

Phase Field Model
Voids
Irradiation
voids
Uncertainty
irradiation
Void Fraction
Uncertainty Quantification
Phase Field
Prediction
Vacancy
Surface Energy
Stochastic Methods
Collocation Method
Porosity
Volume Fraction
Asymptotic Analysis
Asymptotic analysis
collocation
Migration

Keywords

  • Asymptotic analysis
  • Irradiation effects
  • Phase field modeling
  • Uncertainty quantification
  • Void formation

ASJC Scopus subject areas

  • Engineering(all)
  • Mechanics of Materials

Cite this

Asymptotic and uncertainty analyses of a phase field model for void formation under irradiation. / Wang, N.; Rokkam, S.; Hochrainer, Thomas; Pernice, M.; El-Azab, A.

In: Computational materials science, Vol. 89, 2014, p. 165-175.

Research output: Contribution to journalArticleResearchpeer-review

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N2 - We perform asymptotic analysis and uncertainty quantification of a phase field model for void formation and evolution in materials subject to irradiation. The parameters of the phase field model are obtained in terms of the underlying material specific quantities by matching the sharp interface limit of the phase field model with the corresponding sharp interface theory for void growth. To evaluate the sensitivity of phase field simulations to uncertainties in input parameters we quantify the predictions using the stochastic collocation method. Uncertainties arising from material parameters are investigated based on available experimental and atomic scale data. The results of our analysis suggest that the uncertainty in the formation and migration energies of vacancies are found to have a strong influence on the void volume fraction (or porosity). In contrast, the uncertainty resulting from the void surface energy has minimal affect. The analysis also shows that the model is consistent in the sense that its predictions do not drastically change as a result of small variations of the model input parameters. © 2014 Elsevier Ltd. All rights reserved.

AB - We perform asymptotic analysis and uncertainty quantification of a phase field model for void formation and evolution in materials subject to irradiation. The parameters of the phase field model are obtained in terms of the underlying material specific quantities by matching the sharp interface limit of the phase field model with the corresponding sharp interface theory for void growth. To evaluate the sensitivity of phase field simulations to uncertainties in input parameters we quantify the predictions using the stochastic collocation method. Uncertainties arising from material parameters are investigated based on available experimental and atomic scale data. The results of our analysis suggest that the uncertainty in the formation and migration energies of vacancies are found to have a strong influence on the void volume fraction (or porosity). In contrast, the uncertainty resulting from the void surface energy has minimal affect. The analysis also shows that the model is consistent in the sense that its predictions do not drastically change as a result of small variations of the model input parameters. © 2014 Elsevier Ltd. All rights reserved.

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