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

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Bibliographic Details
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]
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Database: Engineering Source
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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]
ISSN:00457949
DOI:10.1016/j.compstruc.2023.107110