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Nondestructive inspection tools are commonly used to inspect structures or structural components with resistance deterioration due to defect size growth. The quality of the tools is mainly defined by the rate of detecting a defect with defect size s, ρ(s), and the accuracy in sizing a detected defect. The uncertainty of sizing a detected defect can be incorporated in limit state functions that include...
Approximate solutions are presented to evaluate the probability of failure of a structural system using simulation results. The solutions are based on a family of normal polynomial models fitted to the simulated data points with fractile constraints. The normal polynomial approximates well to some of the well-known distribution types. A simple model with a third-order normal polynomial appears...
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