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Batch-wise Improvement in Reduced Materials Design Space using a Holistic Optimization Technique

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Journal Articles

Illustrating an Effective Workflow for Accelerated Materials Discovery

Mrinalini Mulukutla, A. Nicole Person, Sven Voigt, Lindsey Kuettner, Branden Kappes, Danial Khatamsaz, Robert Robinson, Daniel Salas Mula, Wenle Xu, Daniel Lewis, Hongkyu Eoh, Kailu Xiao, Haoren Wang, Jaskaran Singh Saini, Raj Mahat, Trevor Hastings, Matthew Skokan, Vahid Attari, Michael Elverud, James D. Paramore, Brady Butler, Kenneth Vecchio, Surya R. Kalidindi, Douglas Allaire, Ibrahim Karaman, Edwin L. Thomas, George Pharr, Ankit Srivastava & Raymundo Arróyave

Integrating Materials and Manufacturing Innovation

2024

Algorithmic materials discovery is a multidisciplinary domain that integrates insights from specialists in alloy design, synthesis, characterization, experimental methodologies, computational modeling, and optimization. Central to this effort is a robust data management system paired with an interactive work platform. This platform should empower users to not only access others’ data but also integrate their analyses, paving the way for sophisticated data pipelines. To realize this vision, there is a need for an integrative collaboration platform, streamlined data sharing and analysis tools, and efficient communication channels. Such a collaborative mechanism should transcend geographical barriers, facilitating remote interaction and fostering a challenge-response dynamic. To further enhance precision and interoperability in this multifaceted research landscape, we must explore innovative ways to refine these processes and improve the integration of expertise and data across diverse domains. In this paper, we present our ongoing efforts in addressing the critical challenges related to an accelerated materials discovery framework as a part of the High-Throughput Materials Discovery for Extreme Conditions (HTMDEC) Initiative. Our BIRDSHOT (Batch-wise Improvement in Reduced Materials Design Space using a Holistic Optimization Technique) Center has successfully harnessed various tools and strategies, including the utilization of cloud-based storage, a standardized sample naming convention, a structured file system, the implementation of sample travelers, a robust sample tracking method, and the incorporation of knowledge graphs for efficient data management. Additionally, we present the development of a data collection platform, reinforcing seamless collaboration among our team members. In summary, this paper provides an illustration and insight into the various elements of an efficient and effective workflow within an accelerated materials discovery framework while highlighting the dynamic and adaptable nature of the data management tools and sharing platforms.

Closed-loop materials discovery and optimization framework designed for BIRDSHOT showing the integration of main thrusts of interest

Bayesian optimization with active learning of design constraints using an entropy-based approach

Khatamsaz, D., Vela, B., Singh, P., Johnson, D.D., Allaire, D. and Arróyave, R.

npj Computational Materials, 9(1), p.49.

2023

The design of alloys for use in gas turbine engine blades is a complex task that involves balancing multiple objectives and constraints. Candidate alloys must be ductile at room temperature and retain their yield strength at high temperatures, as well as possess low density, high thermal conductivity, narrow solidification range, high solidus temperature, and a small linear thermal expansion coefficient. Traditional Integrated Computational Materials Engineering (ICME) methods are not sufficient for exploring combinatorially-vast alloy design spaces, optimizing for multiple objectives, nor ensuring that multiple constraints are met. In this work, we propose an approach for solving a constrained multi-objective materials design problem over a large composition space, specifically focusing on the Mo-Nb-Ti-V-W system as a representative Multi-Principal Element Alloy (MPEA) for potential use in next-generation gas turbine blades. Our approach is able to learn and adapt to unknown constraints in the design space, making decisions about the best course of action at each stage of the process. As a result, we identify 21 Pareto-optimal alloys that satisfy all constraints. Our proposed framework is significantly more efficient and faster than a brute force approach.

Pairwise plot demonstrating correlations and trade-offs between the 5 constraints applied to the design space. Alloys that are comprised of more than 50% of a particular element are colored accordingly. Alloys that do not have a majority element are colored in gray. Diagonal rows depict property distributions for each class of alloy. The lower-left triangle depicts Kernel Density Estimate (KDE) estimates over joint property distributions to better visualize the structure of the data.

Multi-objective Bayesian alloy design using multi-task Gaussian processes

Khatamsaz, D., Vela, B. and Arróyave, R.

Materials Letters, 351, p.135067

2023

In design applications, correlations among material properties (such as the tendency for stronger materials to be less ductile) are often neglected. This approach is echoed in multi-objective optimization techniques which treat each performance characteristic as an independent objective, aiming to optimize scalar functions and find optimal Pareto fronts. However, this overlooks the statistical relationships between performance characteristics inherent in a material system. To address this, we propose the use of Bayesian optimization, a highly efficient black-box optimization algorithm known for constructing Gaussian processes (GPs) – uncorrelated surrogates – to model objective functions. Rather than evaluating multiple GPs for each objective function separately, we argue for a shift towards jointly modeling these objective functions, considering their statistical correlations. This integrated approach utilizes naturally occurring relationships among material properties, providing additional information to enhance the performance of the design framework. This requires the replacement of multiple independent GPs with a single multi-task GP, employing a correlation matrix to construct a multi-task kernel function, wherein each task corresponds to a single objective function. We anticipate this refined methodology will better leverage material correlations, improving design optimization results.

Color coded UMAPs including discovered non-dominated designs

Color coded UMAPs including discovered non-dominated designs. The non-dominated region discovered via using multi-task GP is slightly wider.

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