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Demonstration of model-assisted probability of detection framework for ultrasonic inspection of cracks in compressor blades 1 1 Introduction 1 2 Theoretical background 2 2.1 Damage tolerance design 2 2.2 Structural risk assessment and NDT capability demonstration 2 2.3 POD estimated by statistical analysis of NDT data 2 3 MAPOD framework 4 3.1 Proposed framework 4 3.2 NDT modeling 4 3.3 Metamodeling with Gaussian process regression 5 3.4 Global sensitivity analysis 5 3.5 Calibration 5 4 Application 6 4.1 Physics-based model: J85 engine compressor first-stage blade tang hole crack 6 4.2 Global sensitivity analysis: Sobol’s variance-based method 7 4.3 Computational and physical experiments 9 4.4 Estimation of POD curve calibrated by experimental data 10 5 Conclusions 11 Author statement 11 Declaration of competing interest 11 References 11
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