The "crack" information may not be available.
From basic principles, you can figure out the strain for a particular radius. If you're plastically bending it, stress will be somewhere around the yield point, depending on how the stress-strain curve is shaped. Whether that results in a crack is a different issue.
ASME does have some limitations on the amount of forming that can be done cold, that I supposed relate indirectly to this problem.
AISC-ASD gives minimum bending radius for carbon steel.
Also, note that for a given material, it could be cold-worked, annealed, etc., so there may not be a single answer.