Bayesian estimation of single ply anisotropic elastic constants from spherical indentations on multi-laminate polymer-matrix fiber-reinforced composite samples

Castillo, Andrew; Kalidindi, Surya R.

doi:10.1007/s11012-020-01154-w

Cited by 12 publications

(7 citation statements)

References 43 publications

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“…The large numerical error at small θ was caused by the measurement error in θ and high sensitivity of M against θ. These findings agree to Castillo and Kalidindi [29], which predicted the variation of M with θ using Monte Carlo Markov Chain and showed highest uncertainty was seen at small θ. Figure 13 shows the dependence of average absolute value of the error on the anisotropy index.…”

Section: Numerical Error With Respect To Experimental Resultssupporting

confidence: 91%

Numerical calculation and finite element analysis for anisotropic elastic properties of carbon fibers: dependence of integration subinterval and mesh size on indentation-derived elastic modulus

et al. 2022

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The elastic modulus measured by indentation of carbon fibers with various anisotropic elasticity is calculated by two numerical approaches, the Vlassak–Nix model and finite element analysis, to reveal the acceptable calculation condition for highly anisotropic materials. Five commercially available carbon fibers that varied in anisotropy index in the range of 0.5–7.9 are used (either polyacrylonitrile- or pitch-based). The numerical error in the calculated modulus increases with the decrease in fiber angle and with the increase in the anisotropy index under the same mesh condition, indicating finer mesh is required for a highly anisotropic material. The acceptable mesh size linearly increases with anisotropic index. The Vlassak–Nix model overestimates the elastic modulus at a small tilt angle if few integration subintervals are used. Conversely, finite element analysis of the Hertz contact problem with coarse mesh underestimates the modulus at a small tilt angle, and a maximum modulus is observed when the fiber is tilted a few degrees against the indentation axis. These findings are expected to assist the future determination of ideal calculation conditions for materials with large anisotropic elasticity including fibers and composites.

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Section: Numerical Error With Respect To Experimental Resultssupporting

confidence: 91%

Numerical calculation and finite element analysis for anisotropic elastic properties of carbon fibers: dependence of integration subinterval and mesh size on indentation-derived elastic modulus

et al. 2022

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“…The majority of research concentrates on the characterization of the elastic modulus and shear modulus of the laminate in longitudinal and transverse directions on the macro scale (Daghia et al, 2007;Pedersen & Frederiksen, 1992;Steuben et al, 2015;Wesolowski & Barkanov, 2014;Zebdi et al, 2009). On the mesoscale, the mechanical properties of the single plies are evaluated (Castillo & Kalidindi, 2020) while on the micro-scale the mechanical properties of the fiber and matrix are of interest (Blaheta et al, 2018). More advanced approaches combine the different scales to multi-scale approaches (Cappelli et al, 2018;Cappelli et al, 2019a;Cappelli et al, 2019b) to gain deeper insights into the geometrical features and the material of the microstructure.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Composite Laminate Ply Angles Using an Inverse Bayesian Approach Based on Surrogate Models

et al. 2022

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A digital twin (DT) relies on a detailed, virtual representation of a physical product. Since uncertainties and deviations can lead to significant changes in the functionality and quality of products, they should be considered in the DT. However, valuable product properties are often hidden and thus difficult to integrate into a DT. In this work, a Bayesian inverse approach based on surrogate models is applied to infer hidden composite laminate ply angles from strain measurements. The approach is able to find the true values even for ill-posed problems and shows good results up to 6 plies.

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“…Nevertheless, the mechanical properties of these materials are important for survivability and reliability in hostile environments. Following the logic of many studies in traditional composite materials, these mechanical properties should be investigated from the constituent scale to the bulk scale, [5][6][7] as well as the static to dynamic strain regimes. [8][9][10] Recent studies have shown that many design choices in the formulation of these PBX composites, such as particle size distribution, pressing density, or pressing temperature can affect the mechanical response of the final part.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Compressive strength of the plastic-bonded explosive surrogate idoxuridine under quasistatic and dynamic compression

Burch

Euser

Morrow

et al. 2022

Journal of Composite Materials

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Inert simulant materials, or “mocks”, are often used as surrogates for plastic-bonded explosives (PBX) in non-detonative tests in order to mitigate hazards. Mocks should reproduce as many non-detonative properties of the explosive as possible, including structural behavior in a variety of thermal and mechanical environments. Recently, the molecular crystal idoxuridine (IDOX) has been identified as an ideal mock for the main component in the explosive polymer-matrix composite PBX 9501, and has performed favorably under quasistatic loading conditions. Here, in order to assess robustness over a range of mechanical environments, plastic-bonded IDOX was compression tested from 0.001/s to 2000/s strain rates and compared to PBX 9501 historical data. Plastic-bonded IDOX showed good agreement to PBX 9501 across these strain rates, justifying continued development and production as a mock.

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Bayesian estimation of single ply anisotropic elastic constants from spherical indentations on multi-laminate polymer-matrix fiber-reinforced composite samples

Cited by 12 publications

References 43 publications

Numerical calculation and finite element analysis for anisotropic elastic properties of carbon fibers: dependence of integration subinterval and mesh size on indentation-derived elastic modulus

Numerical calculation and finite element analysis for anisotropic elastic properties of carbon fibers: dependence of integration subinterval and mesh size on indentation-derived elastic modulus

Estimation of Composite Laminate Ply Angles Using an Inverse Bayesian Approach Based on Surrogate Models

Compressive strength of the plastic-bonded explosive surrogate idoxuridine under quasistatic and dynamic compression

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