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Equation 20 · Part 1 · Why Materials Fail: Fracture, Flaws and the Inspection Interval

Symbol a

dadN=C (ΔK)m.\frac{\mathrm{d}a}{\mathrm{d}N} = C\,(\Delta K)^{m}.
aa

What this part means

a is part of the quantity the equation computes from the expression on the right.

Its job in the formula

a is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…per cycle depends on the range of the stress intensity factor over the cycle: dadN=C (ΔK)m\frac{\mathrm{d}a}{\mathrm{d}N} = C\,(\Delta K)^{m}. The parameters C and m are fitted, not derived, and depend on environment, frequency, temperature and stress ratio. A mechanics review that proposes a generalised form of the law opens by conceding that “fatigue life prediction is still very much an empirical art rather than a science”, and notes that the power law holds only in an intermediate regime, deviating near the threshold below which cracks do not…

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Learn the underlying idea

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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