Inverse stochastic microstructure design.

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Title: Inverse stochastic microstructure design.
Authors: Generale, Adam P.1 (AUTHOR), Robertson, Andreas E.1 (AUTHOR), Kelly, Conlain2 (AUTHOR), Kalidindi, Surya R.1,2 (AUTHOR) surya.kalidindi@me.gatech.edu
Source: Acta Materialia. Jun2024, Vol. 271, pN.PAG-N.PAG. 1p.
Subjects: Kriging, Statistical learning, Microstructure, Continuum mechanics, Statistical mechanics, Materials science, Ceramic-matrix composites
Abstract: Inverse Microstructure Design problems are ubiquitous in materials science; for example, property-driven microstructure design requires the inversion of a structure–property linkage. However, prior frameworks have struggled to address this problem's unique combination of challenges: the high dimensionality and stochasticity of microstructures, under sampled initial datasets, and ill-conditioning of the inversion. In this work, we propose a computational framework for Inverse Microstructure Design problems using a Bayesian methodology. We construct this framework from three modular components, enabling flexible extension and re-use. First, we define a low-dimensional, informative microstructure prior by integrating domain knowledge (i.e., statistical continuum mechanics) into a distributional learning scheme. This scheme includes multiple latent representations which address the challenges inherent to representing microstructures. Second, we define a property-specific likelihood using a multi-output Gaussian process regression surrogate model. Finally, we efficiently learn the conditional posterior density for a given target property, and generate samples using deep variational inference. We demonstrate our proposed method for solving stochastic microstructure design problems by identifying woven ceramic matrix composites matching target anisotropic thermal conductivities. Through this example, we analyze the integral role of each component in the inversion framework. [Display omitted] [ABSTRACT FROM AUTHOR]
Copyright of Acta Materialia is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Inverse Microstructure Design problems are ubiquitous in materials science; for example, property-driven microstructure design requires the inversion of a structure–property linkage. However, prior frameworks have struggled to address this problem's unique combination of challenges: the high dimensionality and stochasticity of microstructures, under sampled initial datasets, and ill-conditioning of the inversion. In this work, we propose a computational framework for Inverse Microstructure Design problems using a Bayesian methodology. We construct this framework from three modular components, enabling flexible extension and re-use. First, we define a low-dimensional, informative microstructure prior by integrating domain knowledge (i.e., statistical continuum mechanics) into a distributional learning scheme. This scheme includes multiple latent representations which address the challenges inherent to representing microstructures. Second, we define a property-specific likelihood using a multi-output Gaussian process regression surrogate model. Finally, we efficiently learn the conditional posterior density for a given target property, and generate samples using deep variational inference. We demonstrate our proposed method for solving stochastic microstructure design problems by identifying woven ceramic matrix composites matching target anisotropic thermal conductivities. Through this example, we analyze the integral role of each component in the inversion framework. [Display omitted] [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Acta Materialia is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.actamat.2024.119877
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      – Code: eng
        Text: English
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        StartPage: N.PAG
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      – SubjectFull: Kriging
        Type: general
      – SubjectFull: Statistical learning
        Type: general
      – SubjectFull: Microstructure
        Type: general
      – SubjectFull: Continuum mechanics
        Type: general
      – SubjectFull: Statistical mechanics
        Type: general
      – SubjectFull: Materials science
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      – SubjectFull: Ceramic-matrix composites
        Type: general
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      – TitleFull: Inverse stochastic microstructure design.
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            NameFull: Generale, Adam P.
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            NameFull: Robertson, Andreas E.
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            NameFull: Kelly, Conlain
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            NameFull: Kalidindi, Surya R.
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            – D: 01
              M: 06
              Text: Jun2024
              Type: published
              Y: 2024
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              Value: 271
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