Uncertainty quantification and propagation in the microstructure-sensitive prediction of the stress-strain response of woven ceramic matrix composites.

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Title: Uncertainty quantification and propagation in the microstructure-sensitive prediction of the stress-strain response of woven ceramic matrix composites.
Authors: Generale, Adam P.1 (AUTHOR), Kalidindi, Surya R.1,2 (AUTHOR) surya.kalidindi@me.gatech.edu
Source: Computers & Structures. Oct2023, Vol. 286, pN.PAG-N.PAG. 1p.
Subjects: Continuum damage mechanics, Strains & stresses (Mechanics), Ceramic-matrix composites, Multiscale modeling, Damage models, Inhomogeneous materials, Ceramics
Abstract: • Stochastic scale-bridging is performed between the meso and macroscale, with continuous information flow from macroscale experimental data. • Uncertainty in microstructure and constituent behavior is considered jointly in inferring continuum damage model parameters directly from higher length-scale experiments. • Mesoscale constituent model uncertainty is propagated towards probabilistic microstructure-sensitive predictions. Hierarchical multiscale modeling of heterogeneous materials has traditionally relied upon a deterministic estimation of constitutive properties when making microstructure-sensitive predictions of effective response at each subsequent length-scale. Such an approach is wholly unsuitable for a variety of material classes, such as ceramic matrix composites, which exhibit large variability at multiple length-scales. This work demonstrates a framework for approaching two open problems towards improved microstructure-sensitive predictions, namely, (i) probabilistically calibrating complex constitutive models at the mesoscale to sparsely observed macroscale experimental data, and (ii) propagating this stochastic constituent behavior at the mesoscale towards low-cost homogenized predictions for unseen microstructures. The proposed stochastic scale-bridging framework displays a continuity of information flow where no portion of the experimental data is neglected out of convenience, facilitating the greatest information gain from oftentimes costly experiments. In this paper, suitable protocols were developed to address the challenges described above. The protocols were subsequently demonstrated on ceramic matrix composite's uniaxial tensile stress–strain response, where constituent behavior at the mesoscale was described using continuum damage mechanics, and predictions encapsulating constitutive model parameter uncertainty were made for novel microstructures. The methodology presented in this work is broadly applicable to various material classes and constitutive models with high-dimensional parameter sets. [ABSTRACT FROM AUTHOR]
Copyright of Computers & Structures is the property of Pergamon Press - An Imprint of Elsevier Science 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.)
Database: Engineering Source
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DbLabel: Engineering Source
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  Label: Title
  Group: Ti
  Data: Uncertainty quantification and propagation in the microstructure-sensitive prediction of the stress-strain response of woven ceramic matrix composites.
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  Data: <searchLink fieldCode="AR" term="%22Generale%2C+Adam+P%2E%22">Generale, Adam P.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kalidindi%2C+Surya+R%2E%22">Kalidindi, Surya R.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> surya.kalidindi@me.gatech.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Computers+%26+Structures%22">Computers & Structures</searchLink>. Oct2023, Vol. 286, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Continuum+damage+mechanics%22">Continuum damage mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Strains+%26+stresses+%28Mechanics%29%22">Strains & stresses (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Ceramic-matrix+composites%22">Ceramic-matrix composites</searchLink><br /><searchLink fieldCode="DE" term="%22Multiscale+modeling%22">Multiscale modeling</searchLink><br /><searchLink fieldCode="DE" term="%22Damage+models%22">Damage models</searchLink><br /><searchLink fieldCode="DE" term="%22Inhomogeneous+materials%22">Inhomogeneous materials</searchLink><br /><searchLink fieldCode="DE" term="%22Ceramics%22">Ceramics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: • Stochastic scale-bridging is performed between the meso and macroscale, with continuous information flow from macroscale experimental data. • Uncertainty in microstructure and constituent behavior is considered jointly in inferring continuum damage model parameters directly from higher length-scale experiments. • Mesoscale constituent model uncertainty is propagated towards probabilistic microstructure-sensitive predictions. Hierarchical multiscale modeling of heterogeneous materials has traditionally relied upon a deterministic estimation of constitutive properties when making microstructure-sensitive predictions of effective response at each subsequent length-scale. Such an approach is wholly unsuitable for a variety of material classes, such as ceramic matrix composites, which exhibit large variability at multiple length-scales. This work demonstrates a framework for approaching two open problems towards improved microstructure-sensitive predictions, namely, (i) probabilistically calibrating complex constitutive models at the mesoscale to sparsely observed macroscale experimental data, and (ii) propagating this stochastic constituent behavior at the mesoscale towards low-cost homogenized predictions for unseen microstructures. The proposed stochastic scale-bridging framework displays a continuity of information flow where no portion of the experimental data is neglected out of convenience, facilitating the greatest information gain from oftentimes costly experiments. In this paper, suitable protocols were developed to address the challenges described above. The protocols were subsequently demonstrated on ceramic matrix composite's uniaxial tensile stress–strain response, where constituent behavior at the mesoscale was described using continuum damage mechanics, and predictions encapsulating constitutive model parameter uncertainty were made for novel microstructures. The methodology presented in this work is broadly applicable to various material classes and constitutive models with high-dimensional parameter sets. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Computers & Structures is the property of Pergamon Press - An Imprint of Elsevier Science 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:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.compstruc.2023.107110
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      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Continuum damage mechanics
        Type: general
      – SubjectFull: Strains & stresses (Mechanics)
        Type: general
      – SubjectFull: Ceramic-matrix composites
        Type: general
      – SubjectFull: Multiscale modeling
        Type: general
      – SubjectFull: Damage models
        Type: general
      – SubjectFull: Inhomogeneous materials
        Type: general
      – SubjectFull: Ceramics
        Type: general
    Titles:
      – TitleFull: Uncertainty quantification and propagation in the microstructure-sensitive prediction of the stress-strain response of woven ceramic matrix composites.
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            NameFull: Generale, Adam P.
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            NameFull: Kalidindi, Surya R.
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            – D: 01
              M: 10
              Text: Oct2023
              Type: published
              Y: 2023
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