Statistical modelling of microsegregation in laser powder-bed fusion

ABSTRACT

Laser powder-bed fusion solidification of Ni–Nb alloys often results in cellular morphology in which the solute microsegregation was determined using experiments and simulations, and the data obtained were utilised to explore the predictive capability of microsegregation models. The experimental ‘ground truth’ was compared with high-fidelity phase-field simulations as well as with analytical model predictions. Supervised statistical analyses, including linear regression, polynomial regression, and model reification were employed to understand the merit of these approaches toward microsegregation estimation. The bias-variance and accuracy-interpretability trade-off limits were considered in the data analysis that was consistent with our experimental findings.

KEYWORDS:

• Additive manufacturing
• microsegregation
• phase-field
• regression
• reification

Acknowledgments

We thank the support of the National Science Foundation Grants: CMMI-1534534, CMMI-1663130, and DGE-1545403. High-throughput FEA and PF simulations were carried out at the Ada and Terra Texas A&M University supercomputing facilities. S.G. thanks L. Johnson and M. Mahmoudi for useful discussions.

Disclosure statement

No potential conflict of interest was reported by the author(s).

ORCID

Supriyo Ghosh http://orcid.org/0000-0001-7265-5266

Ibrahim Karaman http://orcid.org/0000-0001-6461-4958

Raymundo Arroyave http://orcid.org/0000-0001-7548-8686

Additional information

Funding

We thank the support of the National Science Foundation [grants numbers CMMI-1534534, CMMI-1663130, and DGE-1545403].