Saturday, February 20

Fractures from Anxiety

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

σapplied is the loading stress,
a is half the length of the crack, and
ρ is the radius of curvature at the crack tip
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