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Equation 30 · Part 1 · Why Materials Fail: Fracture, Flaws and the Inspection Interval

Symbol m

mm
mm

What this part means

m is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

m is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

with m the Weibull modulus and σ0\sigma_0 a scale parameter. A larger m means tighter scatter. A review of Weibull analysis across ceramics reports moduli of roughly 10 or below for many advanced ceramics such as alumina, hydroxyapatite and silicon carbide, below about 7 for the glass-ceramics and zirconias surveyed, and above 40 for one magnesium-based glass, while emphasising that reliable modulus estimates need substantial sample sizes [ 11 ] .

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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