Using the same idea as illustrated in the Estimating P[t2 >= t1] Using the Comparison Wizard section, one could determine the probability of failure based on the probability of stress exceeding strength. In this case, Eqn. (31) could be recast as:
In this case, the data for the strength set would be actual data that is indicative of the strength of the material (i.e. maximum applied stress to cause failure), and the stress data would be actual stress data of the material under use conditions.
Weibull++'s Stress-Strength Wizard allows you to perform such calculations.
See Also:
Additional Reliability Analysis Tools
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