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

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SUMMARY

The discussion centers on interpreting a stress-strain graph to determine material properties, specifically ductility, toughness, and strength. The user concludes that Material C exhibits the highest ductility based on its elongation before rupture, while Material B is identified as the toughest due to its larger area under the curve. The reasoning eliminates options A, B, and C for both questions, confirming that option D is the correct answer for ductility in question 1b. The user expresses confusion but receives affirmation from another participant regarding their reasoning.

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  • Understanding of stress-strain graphs
  • Knowledge of material properties: strength, toughness, and ductility
  • Familiarity with elastic and plastic deformation concepts
  • Basic principles of material science
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  • Study the definitions and differences between ductility and brittleness in materials
  • Learn how to calculate toughness from stress-strain curves
  • Explore the significance of the area under the stress-strain curve
  • Investigate various materials and their mechanical properties through comparative analysis
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Material scientists, mechanical engineers, students studying material properties, and professionals involved in materials testing and analysis.

Bolter
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Homework Statement
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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

Screenshot 2020-06-04 at 20.43.18.png


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!
 
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Your reasoning sounds good to me. I agree.
 
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