I think that in addition to the initial moisture freezing (leading to surface cracking and spalling) you would get some significant thermal stresses due to the rapid change in temperature at the surface.
These stresses could go deep into the concrete and cause problems with deep cracking and strain.
How much liquid nitrogen are we talking about?
A small amount would boil off quite rapidly and not use as much heat in the concrete and not cause as much damage. A large amount that took some time (and heat) to boil off would do a lot more damage.
Is this a hypothetical question or did a spill occur?
Did it occur in a critical area or just on a non structural pad?
If you had a spill I would recommend some detailed investigation.
If the spill was on a non structural pad then perhaps replacing it or a simple overlay would be more economical than a detailed investigation. Simply doing nothing and waiting for any problems to show up might be a viable option for a non structural pad.
If it’s a structural member than a significant field and office investigation could be indicated.
Field investigation could consist of a mix of destructive (core samples) and non destructive testing (ultrasound and/or x-ray) as warranted by conditions.
You could do some worst case analysis and assume that the heat came completely from the concrete, and model the thermal stresses that could be created. This would most likely be some sort of finite element analysis knowing the thermal properties of the concrete (insulating properties, specific heat of the concrete and coefficients of thermal expansion) as well as the heat necessary to boil the nitrogen. If you know how long to boil the nitrogen, you could determine if the concrete was capable of giving off the heat fast enough to cause all the boiling or is it was contributing its heat at the maximum rate possible and adjust your model accordingly. This sort of analysis could be done if you are doing a risk analysis for a potential problem or actually had a spill.
More details of the problem would be helpful.
Rick Kitson MBA P.Eng
Construction Project Management
From conception to completion