(Solved): An aircraft component is fabricated from an aluminum alloy that has a plane strain fracture toughne ...

An aircraft component is fabricated from an aluminum alloy that has a plane strain fracture toughness of \( 33 \mathrm{MPa}\left(\mathrm{m}^{1 / 2}\right) \). The alloy fractures when a stress of \( 225 \mathrm{MPa} \) is applied, resulting in (maximum) surface crack length of \( 1.90 \mathrm{~mm} \). For the same alloy, if a stress of \( 300 \mathrm{MPa} \) is applied, what is the maximum surface crack length sustained before fracture.