You are designed a thin$-$walled spherical tank for storage of high pressure gas. Safety design requires that the tank plastically deformation before detrimental breakdown $($i$.$e$.$ crack propagation$).$ This condition will be met when the yield strength is equal or less than the critical stress for crack propagation. For the $3$ alloys listed below, determine which one$($s$)$ can be used for the gas tank. Critical inner crack size for all $3$ alloys are $4mm.$ Assume plane strain conditions and thay $Y=1$ for all alloys.

$\backslash$table$[[$Material$,$Yield strength $($MPa$),K_{Ic}(MPa\sqrt[\phantom{2}]{m})$