When selecting a material what would you take into consideration more, tensile strength or yield strength?

Background: Given an example of a failed part, what material properties would you consider? Think about the use cases of the designed part.

Yield strength is typically more important. Yield strength corresponds to the amount of load that can be subjected to the part before plastic deformation. Tensile strength (UTS) corresponds to the amount of load a material can take before necking begins. You’d want to design a part around the yield strength because it would be pretty bad if you had a part start plastically deforming in the middle of its lifecycle.

I’ve never really taken UTS into consideration when designing parts because UTS is irrelevant in my application. I’m sure there would be some applications where UTS is considered more though, can anyone think of some example applications?