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Paris Law Crack Growth

Fatigue crack growth rate da/dN = C·(ΔK)^m. Integrates the life from initial to critical crack size.

StructuralFracture
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Formula, assumptions, and limits

dadN=C(ΔK)m\frac{da}{dN} = C \cdot (\Delta K)^m
SymbolMeaningUnit
CCParis regression constant
mmParis exponent
ΔKΔKStress-intensity rangeMPa·√m

Source: Paris & Erdogan (1963) - Crack propagation

In short

Fatigue crack growth rate da/dN = C\u00b7(\u0394K)^m.

Learn the theory Hull Strength and Longitudinal Bending