A validation strategy with copula-based bias approximation approach is proposed to address the 2014 Verification and Validation (V & V) challenge problem developed by the Sandia National Laboratory. The proposed work further incorporates model uncertainty into reliability analysis. Specific issues have been addressed including: (i) uncertainty modeling of model parameters using the Bayesian approach, (ii) uncertainty quantification (UQ) of model outputs using the eigenvector dimension reduction (EDR) method, (iii) model bias calibration with the U-pooling metric, (iv) model bias approximation using the copula-based approach, and (v) reliability analysis considering the model uncertainty. The proposed work is well demonstrated in the challenge problem.
Reliability Analysis With Model Uncertainty Coupling With Parameter and Experiment Uncertainties: A Case Study
of 2014 Verification and Validation Challenge Problem
Manuscript received February 9, 2015; final manuscript received October 18, 2015; published online December 14, 2015. Guest Editor: Kenneth Hu.
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Xi, Z., and Yang, R. (December 14, 2015). "Reliability Analysis With Model Uncertainty Coupling With Parameter and Experiment Uncertainties: A Case Study
of 2014 Verification and Validation Challenge Problem." ASME. J. Verif. Valid. Uncert. March 2016; 1(1): 011005. https://doi.org/10.1115/1.4031984
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