There is one but I've never seen it published any where. At some point the twisting forces on the axle or pinion or the shear forces on the ring and pinion teeth will become enough to break something. I would guess it is somewhere around 3000ft-lb as according to Dana the Dana80 is good for input torque of 3000 Ft-LB <http://www.crateaxle.com/products/dana-80-axles> and the AAM 11.5 is in the same class.
I would agree with you that heat is the biggest concern though. I would expect tire traction to give up before the torque limit was reached; however, a good shock load like a tire spinning in the air and slamming into the ground while towing a heavy load might exceed the maximum torque.