Hmmm. I'm rusty on a lot of this (no pun intended ). "Brittleness" is not a term that metallurgists ordinarily use. They look at elongation, and the gap between yield strength and ultimate tensile strength. Charpy and Izod impact strength are additional terms. In discussions of tool steels, you'll also see the term "timbre," which is not well-defined.
What you're looking for, I think, is a determination of what happens when the yield strength of the bar is exceeded. Does it bend, or does it quickly reach the ultimate tensile strength, and snap? And if it bends, how much does it bend before it snaps?
Right? If that's the case, I don't know the answer. I know that 5% elongation suggests little bending before it snaps. As for thin versus thick, that's a problem of mechanics: a 5% elongation in tension allows more bending, in terms of degrees of bend, in a small wire versus a thicker bar. So a smaller bar should bend more before breaking than a larger one, all other properties being equal. This is discussed in terms of the behavior of the "outermost fibers" (theoretical) of a beam, including a wire or bar. It also explains why a 300 kpsi piece of music wire will bend quite a lot before breaking.
I think. Maybe someone who's more up to date on Statics and the Strength of Materials (that's the title of a good book on the subject) can chime in and correct me on this.