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Saturday, February 20

$\sigma_\mathrm{elliptical\ crack} = \sigma_\mathrm{applied}(1 + 2 \sqrt{ \frac{a}{\rho}}) = 2 \sigma_\mathrm{applied} \sqrt{\frac{a}{\rho}}$

σ applied

is the loading stress,

a

is half the length of the crack, and

ρ

is the radius of curvature at the crack tip