Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Multi-objective materials bayesian optimization with active learning of design constraints: Design of ductile refractory multi-principal-element alloys

Journal Article · · Acta Materialia
We report Bayesian Optimization (BO) has emerged as a powerful framework to efficiently explore and exploit materials design spaces. To date, most BO approaches to materials design have focused on the materials discovery problem as if it were a single expensive-to-query ‘black box’ in which the target is to optimize a single objective (i.e., material property or performance metric). Also, such approaches tend to be constraint agnostic. Here, we present a novel multi-information BO framework capable of actively learning materials design as a multiple objectives and constraints problem. We demonstrate this framework by optimally exploring a Refractory Multi-Principal-Element Alloy (MPEA) space, here specifically, the system Mo-Nb-Ti-V-W. The MPEAs are explored to optimize two density-functional theory (DFT) derived ductility indicators (Pugh’s Ratio and Cauchy pressure) while learning design constraints relevant to the manufacturing of high-temperature gas-turbine components. Alloys in the BO Pareto-front are analyzed using DFT to gain an insight into fundamental atomic and electronic underpinning for their superior performance, as evaluated within this framework.
Research Organization:
Ames Laboratory (AMES), Ames, IA (United States); Texas A & M Univ., College Station, TX (United States); Texas A&M University, College Station, TX (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE Advanced Research Projects Agency - Energy (ARPA-E); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
Grant/Contract Number:
AC02-07CH11358; AR0001427
OSTI ID:
1874802
Alternate ID(s):
OSTI ID: 1894258
OSTI ID: 2202743
Report Number(s):
IS-J--10,843
Journal Information:
Acta Materialia, Journal Name: Acta Materialia Vol. 236; ISSN 1359-6454
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (63)

Adaptive weighted-sum method for bi-objective optimization: Pareto front generation journal September 2004
The weighted sum method for multi-objective optimization: new insights journal December 2009
Constrained multifidelity optimization using model calibration journal January 2012
Multi-information source constrained Bayesian optimization journal October 2018
New Opportunities in Refractory Alloys journal May 2020
Integrated computational materials engineering: A perspective on progress and future steps journal April 2011
Zero bias anomaly in tunnel resistance and electron-electron interaction journal April 1979
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Two methods for the structured assessment of model uncertainty by experts in performance assessments of radioactive waste repositories journal November 1996
Efficient exploration of the High Entropy Alloy composition-phase space journal June 2018
Efficient use of multiple information sources in material design journal November 2019
Efficiently exploiting process-structure-property relationships in material design by multi-information source fusion journal March 2021
Vacancy formation energies and migration barriers in multi-principal element alloys journal March 2022
Including model uncertainty in risk-informed decision making journal March 2006
Multi-fidelity classification using Gaussian processes: Accelerating the prediction of large-scale computational models journal December 2019
Evaluating elastic properties of a body-centered cubic NbHfZrTi high-entropy alloy – A direct comparison between experiments and ab initio calculations journal June 2019
CALPHAD and rule-of-mixtures: A comparative study for refractory high entropy alloys journal December 2020
Enhanced creep resistance of Ti30Al25Zr25Nb20 high-entropy alloy at room temperature journal December 2021
Multi-objective Bayesian materials discovery: Application on the discovery of precipitation strengthened NiTi shape memory alloys through micromechanical modeling journal December 2018
Adaptive active subspace-based efficient multifidelity materials design journal November 2021
Alloy design for aircraft engines journal July 2016
Bias free multiobjective active learning for materials design and discovery journal April 2021
Design of high-strength refractory complex solid-solution alloys journal March 2018
An oxidation resistant refractory high entropy alloy protected by CrTaO4-based oxide journal May 2019
Accelerating computational modeling and design of high-entropy alloys journal January 2021
Printability of alloys for additive manufacturing journal January 2016
Constrained Bayesian optimization for automatic chemical design using variational autoencoders journal January 2020
Alloy design for intrinsically ductile refractory high-entropy alloys journal October 2016
A Bayes Approach for Combining Correlated Estimates journal June 1965
Model Selection and Accounting for Model Uncertainty in Graphical Models Using Occam's Window journal December 1994
XCII. Relations between the elastic moduli and the plastic properties of polycrystalline pure metals journal August 1954
Microstructure and elastic constants of AlTiVMoNb refractory high-entropy alloy coating on Ti6Al4V by laser cladding journal September 2019
Special points for Brillouin-zone integrations journal June 1976
Ab initiomolecular dynamics for liquid metals journal January 1993
Projector augmented-wave method journal December 1994
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Atomic short-range order and incipient long-range order in high-entropy alloys journal June 2015
Tuning Ideal Tensile Strengths and Intrinsic Ductility of bcc Refractory Alloys journal March 2014
Martensitic Transformation in Fe x Mn 80 − x Co 10 Cr 10 High-Entropy Alloy journal September 2021
Density-Functional Theory for Random Alloys: Total Energy within the Coherent-Potential Approximation journal May 1986
Generalized Gradient Approximation Made Simple journal October 1996
Ta-Nb-Mo-W refractory high-entropy alloys: Anomalous ordering behavior and its intriguing electronic origin journal May 2018
Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach journal January 1999
Quick Hypervolume journal August 2014
The Assessment of Probability Distributions from Expert Opinions with an Application to Seismic Fragility Curves journal December 1986
Multi-Information Source Fusion and Optimization to Realize ICME: Application to Dual-Phase Materials journal September 2018
Adaptive Dimensionality Reduction for Fast Sequential Optimization With Gaussian Processes journal March 2019
Review of Gas Turbine Internal Cooling Improvement Technology journal November 2020
Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems journal August 1998
S-Metric Calculation by Considering Dominated Hypervolume as Klee's Measure Problem journal December 2009
Theoretical predictions of structure and related properties of intermetallics journal April 1992
Model Uncertainty journal February 2004
Combining Expert Judgments: A Bayesian Approach journal March 1977
Combining Probability Distributions from Dependent Information Sources journal April 1981
Development and exploration of refractory high entropy alloys—A review journal June 2018
Two-Level Multifidelity Design Optimization Studies for Supersonic Jets journal May 2009
Quantification of Modeling Uncertainty in Aeroelastic Analyses journal May 2011
Surrogate Modeling for Uncertainty Assessment with Application to Aviation Environmental System Models journal August 2010
Provably Convergent Multifidelity Optimization Algorithm Not Requiring High-Fidelity Derivatives journal May 2012
Review on Mechanical Thermal Properties of Superalloys and Thermal Barrier Coating Used in Gas Turbines journal August 2020
Mechanical and Thermal Properties of Low-Density Al20+xCr20-xMo20-yTi20V20+y Alloys journal April 2020
Development of a Refractory High Entropy Superalloy journal March 2016