Question about a brittle material with a flaw

[stinlin]

Would the graph of a brittle steel with a flaw in it (from load 0 to sharp-notch strength, or SNS) somewhat resemble a graph of f(x) = (e^x) - 1? I know this seems like a weird question, but I'm analyzing some data gathered at the lab, and I can't seem to make sense of it.

 

[Astronuc]

How much plastic/permanent deformation does the test achieve.

Are the uniform and total elongation close?

With a large enough flaw, I would expect failure might occur before UTS, and maybe even before YS is achieved.