It has been way too many years since my material science classes, but as I recall, materials behave very differenrly at cold vs. hot temps. - usually you anneal, or soften material ~300 C.
On most metals, recrystallization (or annealing) occurs at elevated temps. According to my very old, possible outdated text, "Elements of Materials Science & Engineering", by van Vlack:
"The greater thermal vibrations of the lattice at high temps permits a reordering of the atoms into less distorted grains."
I believe this translates into: materials soften as they reach their recrystallization temperature ~ 200-400 degrees C, depending on the type of metal.
As I said, my experience is old and maybe newer materials/processes behave differently with the initial cryogenic process. I would beleive that as you raise the temp back up to 300, the material would start to soften - not what I believe you want.
Please have someone more up to date on material science correct me.
Regards,
Keith