2013
DOI: 10.1615/intjmultcompeng.2013005821
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Uncertainty Quantification in Damage Modeling of Heterogeneous Materials

Abstract: This manuscript investigates the use of Bayesian statistical methods for calibration and uncertainty quantification in rate-dependent damage modeling of composite materials. The epistemic and aleatory uncertainties inherent in the model prediction due to model parameter uncertainty, model form error, solution approximations, and measurement errors are investigated. Gaussian process surrogate models are developed to replace expensive finite element models in the analysis. A viscous damage model is employed with… Show more

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Cited by 23 publications
(7 citation statements)
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“…ML algorithms are receiving growing attention in different applications for engineering problems (Adeli, ; Bogdanor, Mahadevan, & Oskay, ; Bogdanor, Oskay, & Clay, ; Lin, Nie, & Ma, ; Nabian & Meidani, ; Rafiei & Adeli, ; Reich, ; Zhang & Oskay, ). The growing capabilities and possibilities to obtain big databases to use as training sets for ML models make it a convenient and effective tool for the solution of problems that are in general too expensive, or when the time required for the solution is not acceptable with respect to the need they are trying to address.…”
Section: Data‐based “System” Scale Modeling Of Bepmentioning
confidence: 99%
“…ML algorithms are receiving growing attention in different applications for engineering problems (Adeli, ; Bogdanor, Mahadevan, & Oskay, ; Bogdanor, Oskay, & Clay, ; Lin, Nie, & Ma, ; Nabian & Meidani, ; Rafiei & Adeli, ; Reich, ; Zhang & Oskay, ). The growing capabilities and possibilities to obtain big databases to use as training sets for ML models make it a convenient and effective tool for the solution of problems that are in general too expensive, or when the time required for the solution is not acceptable with respect to the need they are trying to address.…”
Section: Data‐based “System” Scale Modeling Of Bepmentioning
confidence: 99%
“…The present study is focused on demonstrating the deterministic predictive capability of the EHM model; however, Bayesian statistical methods have been employed within the EHM framework in previous investigations to predict laminate behavior under model parameter uncertainty. 49,50…”
Section: Calibration Blind Prediction and Recalibration Proceduresmentioning
confidence: 99%
“…A considerable body of literature exists for both the forward stochastic analysis, concerned with propagation of uncertainty from the scale of microconstituents in a composite material to a structural level() and the inverse analysis, concerned with stochastic characterization of microstructural material properties typically based on the observations at a coarse scale. ()…”
Section: Introductionmentioning
confidence: 99%