Abstract
Based on the weakest link model and linear elastic fracture mechanics, an equation of the defect detection probability P D is derived theoretically. Assuming that the fracture strengths before and after repair of the detected flaws both follow two-parameter Weibull distributions, the equation P D=1−(a/ϵ) −κ, (κ>0, ϵ>;0) , is obtained for large a. An insight into the distribution of the size of the detected flaws is also obtained.
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