Symbol m
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The practically important consequence is size scaling. Because a larger stressed volume samples more of the flaw population, mean strength falls as the specimen grows, and the ratio of strengths of two specimen geometries goes as the ratio of their effective volumes raised to the power 1/m [ 12 ] . Small-coupon test data therefore systematically overstate the strength of a full-size component, and the overstatement is worse for materials with low Weibull modulus — that is, for exactly the materials whose scatter already makes them hard to design with.
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Equation 31 · Materials Science
Why Materials Fail: Fracture, Flaws and the Inspection Interval
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
The practically important consequence is size scaling. Because a larger stressed volume samples more of the flaw population, mean strength falls as the specimen grows, and the ratio of strengths of two specimen geometries goes as the ratio of their effective volumes raised to the power 1/m [ 12 ] . Small-coupon test data therefore systematically overstate the strength of a full-size component, and the overstatement is worse for materials with low Weibull modulus — that is, for exactly the materials whose scatter already makes them hard to design with.
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