Difference between Yield stress and Proportional Limit

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SUMMARY

The discussion clarifies the distinction between Proportional Limit stress and Yield Stress as observed in stress-strain diagrams. According to Egor P. Popov's "Introduction to Mechanics of Solids," the yield point is often close to the proportional limit, making them appear interchangeable for practical purposes. However, the yield point is easier to identify, while the proportional limit can be vaguely defined, often requiring the offset method for materials without a clear yield point. Thus, while they are closely related, they are not identical in definition or identification.

PREREQUISITES
  • Understanding of stress-strain diagrams
  • Familiarity with material properties and behavior
  • Knowledge of the offset method in material testing
  • Basic concepts of elasticity and plasticity
NEXT STEPS
  • Study the offset method for determining yield points in materials
  • Examine stress-strain curves for various materials
  • Learn about the differences between elastic and plastic deformation
  • Research advanced topics in material mechanics, such as strain hardening
USEFUL FOR

Materials scientists, mechanical engineers, and students studying solid mechanics will benefit from this discussion, particularly those interested in the mechanical properties of materials and their behavior under stress.

Saladsamurai
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Is there a difference, when looking at the stress-strain diagram, between the "Proportional Limit stress" and the "Yield Stress" ?

Thanks!
 
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I picked up my old "Introduction to mechanics of solids" text by Egor P. Popov and it states the following:
A study of stress-strain diagrams shows that the yield point is so near the proportional limit that for most purposes the two may be taken as one. However, it is much easier to locate the former. For materials which do not possesses a well-defined yield point, one is actually "invented" by the use of the so-call offset method.
Hope this helps a little.
 
So, looking at this stress-strain curve, would you say that the proportional limit and the upper yield are in distinguishable?

Picture3-7.png
 
I would say yes but the porportional limit is somewhat vaguely defined.
 
That's because I defined it. I have no way of telling exactly where the non-linear curve begins... so I just "eyeballed'" it.
 

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