Quantifying uncertainty in the process-structure relationship for Al–Cu solidification

Tran, Anh; Liu, Dehao; Tran, Hoang A.; Wang, Yan

doi:10.1088/1361-651X/ab2690

Title: Quantifying uncertainty in the process-structure relationship for Al–Cu solidification

Journal Article · 19 June 2019 · Modelling and Simulation in Materials Science and Engineering

DOI: https://doi.org/10.1088/1361-651X/ab2690 · OSTI ID:1559610

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Georgia Inst. of Technology, Atlanta, GA (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Phase field method (PFM) is a simulation tool to predict microstructural evolution during solidification and is helpful to establish the process-structure relationship for alloys. The robustness of the relationship however is affected by model-form and parameter uncertainties in PFM. In this paper, the uncertainty associated with the thermodynamic and process parameters of PFM is studied and quantified. Surrogate modeling is used to interpolate four quantities of interests (QoIs), including dendritic perimeter, area, primary arm length, and solute segregation, as functions of thermodynamic and process parameters. A sparse grid approach is applied to mitigate the curse-of-dimensionality computational burden in uncertainty quantification. Polynomial chaos expansion is employed to obtain the probability density functions of the QoIs. The effect of parameter uncertainty on the Al–Cu dendritic growth during solidification simulation are investigated. Here, the results show that the dendritic morphology varies significantly with respect to the interface mobility and the initial temperature.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1559610

Journal Information:: Modelling and Simulation in Materials Science and Engineering, Vol. 27, Issue 6; ISSN 0965-0393

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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