Interpreting Stress-Strain Graph: Which Material Has the Highest Ductility?

[Bolter]

Homework Statement

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Relevant Equations

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This is a quick multiple choice question in which I need to interpret the graph and see which statement is true

This is what I have found from looking at the graph

I know that strength is determined by the maximum stress a material can withstand in its elastic region.

And toughness is the ability of a material to absorb a certain energy before complete rupture, I know this property can be relatively measured by the area under the whole curve.

In 1a, option a) Material A does have high strength but clearly material B is more tougher than material C as material B occupies a larger area beneath its curve than material C before rupture.

Hence cannot be option a
Also cannot be option b either as material A is NOT low in strength
Again not option d too as material B is certainly not low in toughness, in fact it is the toughest material there?

So my answer for 1a) leaves with option c to be the one. That is my reasoningMoving to 1b now, it now brings in ductility. From what I understand about ductility is that it is defined as the degree of elongation before complete rupture.

So looking at the graph again, I can conclude that material C has high ductility?
Material A is most likely brittle or in other words less ductile.

Can't be option a, as material A is not high ductility
Can't be option b, as material B is not low toughness
And finally can't be option c too as material B does not have low ductility, material A does

So this leaves me with option d as the answer.

I'm feeling very confused with these mcq's as I don't believe my reasoning is right.

Thanks for any help!

 

[PhanthomJay]

Your reasoning sounds good to me. I agree.