The present work studies two deductions used to determine the local probability of fracture and whose final expressions coincide only in the case of a Weibull specific risk of fracture function of two parameters. As a result thereof, the inconsistency of one of the two deductions is shown and it is explained how to differentiate the two approaches experimentally. Three-point bending of a rectangular and a round beam is studied by resorting to the integral equations method in order to find the Weibull specific risk function.

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