I have never heard of duty cycles on wires or cables.
For conductors in ductbanks, there are columns for percentage load I think.
If you know you will have a continuous load, such as lighting loads, you have to design the conductors, panelboards, etc. at 125%, else they will overheat.
You can get standard welding cables rated for 75C, 90C, and 105C, but as I mentioned, the limiting factor is the rating of the termination.
Most standard terminations are designed for 75C.
The termination can determine the maximum current rating.
Using a high temp rated conductor with a lower temperature rated termination limits the ampacity to the rating of the lower rated termination.
A typical 225A Lincoln tombstone welder has I think a 30% duty cycle.
Per Lincoln:
Duty cycle is the percentage of a ten minute period that the power source can operate at a given output current level before exceeding its thermal limit (i.e. the windings get too hot) and shutting down if it has thermal overload protection.
I have always added on to my welding cables, since my welder is inside the shop, and I weld outside the shop in the driveway.
Adding to the cable length causes voltage drop, and so I generally upsize my cables at least one size when I lengthen them.
I live in a high ambient temperature zone, and high ambient temperature directly affects how much current a cable can handle safely.
You can push more current through a cable without overheating it if you are welding in a cold climate.
The stock cables on a tombstone Lincoln are pretty minimal, and you can bet they are designed to be no larger than needed for a 30% duty cycle.
I tend to pushy my welder pretty hard sometimes, and thus another good reason to use one or two sizes larger than stock tombstone cables, since I probably exceed the 30% duty cycle.
I do sometimes trip the breaker that feeds my welder on long-time overload if I weld too long at too high a heat.
A Lincoln tombstone says 225A, but in reality a maximum with a standard stick is more in the 100-150 range maximum.
The 225A rating is exaggerated in my opinion, and you won't weld very long at all with a tombstone at 225A without exceeding the duty cycle, and/or tripping the breaker feed the welder.
As far as in the US, to my knowledge, conductors have a given continuous current rating at a given ambient temperature, with a given insulation rating.
Any deviations such as with higher ambient temperature, or a lower termination such as 60C, reduces the cable rating accordingly.
The power company looks at load demand factors, but the NEC basically says you need to size bussing for 80% of the face value of the connected breakers, or if the entire load is continuous, size the bussing at 100%.
I normally don't exceed 60% loading on any conductor, because terminations get old, lose, and corroded, and feeders often go through the top of industrial buildings where the ambient temperature can be very high.
I never design for perfect conditions, and I never design to me Code required minimums.
I consider designing designing to Code minimums dangerous in many applications, since there is no room for error or equipment/connection/contact degredation.
Below is a welding cable sizing chart from Lincoln.