Extracting mechanical properties from strain-stress plot (real test)

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Discussion Overview

The discussion revolves around extracting mechanical properties from a stress-strain plot derived from tensile test results, specifically focusing on the Young's modulus of a 306LN stainless steel sample. Participants are attempting to reconcile discrepancies between reported values and their own calculations based on the provided data.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant is trying to derive the Young's modulus from the tensile test results, noting a significant discrepancy between their calculation (19.2 GPa) and the lab's reported value (187 GPa).
  • Another participant questions the origin of the 187 GPa value, indicating it was not explained in the lab report.
  • A participant suggests the possibility of a typo in the reported value, proposing that a decimal point might have been omitted.
  • Another participant asserts that the reported value is not a typo, referencing typical Young's modulus values for stainless steel (around 190 GPa) and expressing confusion over the elastic portion of the load vs. displacement plot.
  • One participant points out that typical strain values for steel at yield might be around 0.002, suggesting a potential error in the strain calculation that could affect the Young's modulus determination.

Areas of Agreement / Disagreement

Participants do not reach consensus on the validity of the reported Young's modulus value, with multiple competing views regarding its accuracy and the calculations leading to it. The discussion remains unresolved.

Contextual Notes

There are unresolved assumptions regarding the accuracy of the strain values derived from the plot and the potential impact of these on the Young's modulus calculation. The lack of clarity in the lab report regarding the calculation of the Young's modulus adds to the uncertainty.

freddie_mclair
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Hi everyone, recently I was working out an elasto-plastic model to make some residual stress predictions: see it here.
Recently I got some real tensile tests results from a lab, therefore I would like to extract a better stress-strain curve to plug into my elasto-plastic model using the Ramberg-Osgood equation. The problem is that I cannot get the Young's modulus that they claim to have obtained!

Here's the tensile test plot:
Tensile-test.jpg


The stress-strain curve I would like to extract corresponds to the plots on the bottom part of the image (ultimate stress around 7.5kN).
The geometry of the samples is the following:
Sample-dimensions.jpg


The results reported by the lab are the following:
  • ##\mbox{- Yield strength: } S_y=480\mbox{ MPa}##
    • from the plot we get ##6{kN}/(\pi 2^2)=477.5\mbox{ MPa}##. OK here!
  • ##\mbox{- Tensile ultimate strength: } S_u=615\mbox{ MPa}##
    • from the plot we get around ##7.5{kN}/(\pi 2^2)=597\mbox{ MPa}##. OK here too!
  • ##\mbox{- Elongation: } 54\%##
    • from the plot, we see that it has been elongated up to around 12mm, which, if we consider the length of the sample to be 24mm, it corresponds to these 50%. Also fine!
  • ##\mbox{- Young's modulus: } E=187\mbox{ GPa}##
    • I unable to get this result... from the plot, the displacement corresponding to the Yield strength (##@6\mbox{ kN}##), ##S_y=480\mbox{ MPa}## is around 0.6mm, which then leads to a strain of ##(24.6-24)/24=0.025##. Consequentially, this gives me an order of magnitude lower for Young's modulus: ##480/0.025=19.2\cdot10^3\mbox{ MPa}##, i.e., ##19.2\mbox{ GPa}##.
What am I doing wrong here?
Thanks in advance!
 
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Where did the 187 come from?
 
Chestermiller said:
Where did the 187 come from?
This is the value declared from the lab report (it's not mentioned how it was calculated).
I was just trying to calculate it (and cross-check it) by myself based on the plot results.

Ah, this is a 306LN stainless steel.
 
Maybe there's a typo, and a decimal point was omitted?
 
No, for sure that it is not a typo. Also, for stainless steel, 190GPa are the "normal" values... I just don't get what is happening in the elastic part of this Load VS Displacement plot.

They have done other tensile tests on similar samples, and the values are also similar.
 
Typical strain values for steel at yield might be in the order of
0.002 rather than .025. Something funny with the decimal point here. Factor of 10. Something is amiss.
 

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