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Title: A Gaussian process autoregressive model capturing microstructure evolution paths in a Ni–Mo–Nb alloy

Journal Article · · Journal of Materials Science
 [1];  [1]; ORCiD logo [1]; ORCiD logo [2];  [3]
  1. Georgia Institute of Technology, Atlanta, GA (United States)
  2. Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
  3. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Additive manufacturing is increasingly being employed to produce components of complex geometries in structural alloys because of the expected energy savings associated with the near-net-shape capability and the ability to build in novel internal features that are not possible with many conventional manufacturing approaches. However, because of the extreme thermal conditions encountered, the non-equilibrium microstructures produced during powder bed-based additive manufacturing processes must be subjected to custom post-heat treatment processes to recover the target mechanical properties. Phase-field models and simulation techniques have matured to a state where the microstructure evolution paths, and the morphologies of the resulting precipitate phases can be predicted reasonably accurately, considering alloy-specific thermodynamic and kinetic aspects of the nucleation and growth processes. However, phase-field simulations are computationally intensive, which precludes the ability to apply the simulations directly to the length scale of the entire component. Therefore, it is highly desirable to develop low-computational-cost surrogate models that effectively capture the physics at the microstructural length scale, while facilitating the design of optimized processing conditions resulting in location-specific targeted microstructures at the component scale. The work presented here demonstrates the application of the materials knowledge system framework to develop a surrogate model that effectively captures the microstructural path during annealing of a Ni–Mo–Nb alloy containing different Mo and Nb compositions known to segregate during solidification under additive manufacturing conditions. Specifically, the surrogate model built in this work is based on a Gaussian process autoregressive model informed by statistical representation of simulated microstructures using two-point correlations and dimensionality reduction through principal component analysis. In conclusion, this surrogate model is shown to capture the bifurcation of the microstructural path during precipitation, which yields a microstructure dominated by the $$\gamma^{\prime\prime}$$ phase at high Nb concentrations and the $$\delta$$ phase at low Nb concentrations.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
2429859
Journal Information:
Journal of Materials Science, Journal Name: Journal of Materials Science Journal Issue: 12 Vol. 59; ISSN 0022-2461
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (60)

Principal component analysis and dimensional analysis as materials informatics tools to reduce dimensionality in materials science and engineering journal June 2009
Methodology for recovering and analyzing two-point pair correlation functions in polycrystalline materials journal August 2006
Precipitation of the δ-Ni3Nb phase in two nickel base superalloys journal March 1988
Effect of microstructure (particulate size and volume fraction) and counterface material on the sliding wear resistance of particulate-reinforced aluminum matrix composites journal May 1994
The evolution of delta-phase in a superplastic Inconel 718 alloy journal January 2007
Effect of the LPSO volume fraction on the microstructure and mechanical properties of Mg–Y2X –Zn X alloys journal September 2011
A diffraction study of the γ″ phase in INCONEL 718 superalloy journal August 2001
Phase-Field Modeling of Precipitation Growth and Ripening During Industrial Heat Treatments in Ni-Base Superalloys journal July 2018
Phase-Field Modeling of Nucleation in Solid-State Phase Transformations journal June 2014
Additive Manufacturing of 17-4 PH Stainless Steel: Post-processing Heat Treatment to Achieve Uniform Reproducible Microstructure journal December 2015
Autonomous Development of a Machine-Learning Model for the Plastic Response of Two-Phase Composites from Micromechanical Finite Element Models journal May 2021
On Heat Treatment and Surface Characterization of Spark Eroded Nickel-Based Superalloy Developed by Additive Manufacturing journal December 2019
Principal component analysis journal August 1987
Applications of semi-implicit Fourier-spectral method to phase field equations journal February 1998
Microstructure-sensitive design of a compliant beam journal August 2001
Thermo-Calc & DICTRA, computational tools for materials science journal June 2002
A phase-field model for heat treatment applications in Ni-based alloys journal May 2006
Microstructure reconstructions from 2-point statistics using phase-recovery algorithms journal March 2008
Delineation of the space of 2-point correlations in a composite material system journal October 2008
Understanding and visualizing microstructure and microstructure variance as a stochastic process journal September 2011
Variant selection during α precipitation in Ti–6Al–4V under the influence of local stress – A simulation study journal September 2013
Computer simulation of phase transformation and plastic deformation in IN718 superalloy: Microstructural evolution during precipitation journal February 2014
Structure–property linkages using a data science approach: Application to a non-metallic inclusion/steel composite system journal June 2015
Quantification and classification of microstructures in ternary eutectic alloys using 2-point spatial correlations and principal component analyses journal May 2016
Extraction of reduced-order process-structure linkages from phase-field simulations journal February 2017
Analytics on large microstructure datasets using two-point spatial correlations: Coarsening of dendritic structures journal June 2017
Application of spherical indentation and the materials knowledge system framework to establishing microstructure-yield strength linkages from carbon steel scoops excised from high-temperature exposed components journal February 2018
Material structure-property linkages using three-dimensional convolutional neural networks journal March 2018
A new framework for rotationally invariant two-point spatial correlations in microstructure datasets journal October 2018
Application of Gaussian process regression models for capturing the evolution of microstructure statistics in aging of nickel-based superalloys journal October 2019
Efficient generation of anisotropic N-field microstructures from 2-point statistics using multi-output Gaussian random fields journal June 2022
The interaction of microstructure and volume fraction in predicting failure in cancellous bone journal December 2006
Materials knowledge system for nonlinear composites journal April 2019
Deep learning approaches for mining structure-property linkages in high contrast composites from simulation datasets journal August 2018
Three-dimensional Phase-field simulation of γ″ precipitation kinetics in Inconel 625 during heat treatment journal February 2021
A machine learning framework for the temporal evolution of microstructure during static recrystallization of polycrystalline materials simulated by cellular automaton journal February 2021
Data-driven reduced order models for effective yield strength and partitioning of strain in multiphase materials journal October 2017
New approximate solution for N-point correlation functions for heterogeneous materials journal January 2012
Delta phase precipitation in Inconel 718 journal September 2004
Application of chord length distributions and principal component analysis for quantification and representation of diverse polycrystalline microstructures journal November 2018
Effects of volume fraction on the microstructure and tensile properties of in situ TiBw/Ti6Al4V composites with novel network microstructure journal March 2013
High-temperature structure stability and mechanical properties of novel 718 superalloy journal April 2007
Gradient-based microstructure reconstructions from distributions using fast Fourier transforms journal October 2008
Multi phase field model for solid state transformation with elastic strain journal May 2006
Microstructure sensitive design for performance optimization journal August 2010
Heat treatment for metal additive manufacturing journal March 2023
Precipitation and dissolution of δ and γ″ during heat treatment of a laser powder-bed fusion produced Ni-based superalloy journal September 2018
What is principal component analysis? journal March 2008
Accelerating phase-field-based microstructure evolution predictions via surrogate models trained by machine learning methods journal January 2021
Principal component analysis journal January 2014
Application of Gaussian process autoregressive models for capturing the time evolution of microstructure statistics from phase-field simulations for sintering of polycrystalline ceramics journal September 2019
P3DFFT: A Framework for Parallel Computations of Fourier Transforms in Three Dimensions journal January 2012
ExaAM: Metal additive manufacturing simulation at the fidelity of the microstructure journal January 2022
Novel microstructure quantification framework for databasing, visualization, and analysis of microstructure data journal July 2013
Versatile algorithms for the computation of 2-point spatial correlations in quantifying material structure journal January 2016
Kernels for Vector-Valued Functions: A Review journal January 2012
The application of Principal Component Analysis to materials science data journal January 2002
A Review of Heat Treatments on Improving the Quality and Residual Stresses of the Ti–6Al–4V Parts Produced by Additive Manufacturing journal July 2020
Phase Field Simulation of AA6XXX Aluminium Alloys Heat Treatment journal February 2021
Evolution of Delta Phase Microstructure in Alloy 718 conference January 2010