How to plot stress-strain curve?

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SUMMARY

This discussion addresses the methodology for plotting a stress-strain curve using yield strength, tensile strength, and elongation data. Specifically, the values provided are yield strength at 300 MPa, tensile strength at 600 MPa, and elongation at 50%. To accurately plot the curve, one must also consider the modulus of elasticity, which for steel is approximately 207 GPa. The discussion emphasizes the importance of identifying the proportional limit to create a smooth curve from the linear region to failure.

PREREQUISITES
  • Understanding of stress-strain relationships in materials
  • Knowledge of Young's modulus, specifically for steel (207 GPa)
  • Familiarity with yield strength and tensile strength concepts
  • Ability to interpret elongation data in the context of material properties
NEXT STEPS
  • Research how to calculate the proportional limit for different materials
  • Learn about plotting stress-strain curves using software tools like MATLAB or Python's Matplotlib
  • Explore the differences in stress-strain behavior among various materials, including austenitic stainless steels
  • Study the significance of the elastic limit in material science
USEFUL FOR

Material scientists, mechanical engineers, and students studying material properties who are interested in understanding and plotting stress-strain curves for various materials.

Felix Andiana
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Can we plot stress-strain curve if we only have yield strength, tensile strength, and elongation data?
For example if i have:
Yield strength = 300 MPa
Tensile Strength = 600 MPa
Elongation = 50%
How to plot the stress-strain curve?
Thanks
 
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You can approximate the line.
Do you know what each of your data points represents? ie could you find them on a given stress strain curve?
 
Yield strength = 300 MPa
Tensile Strength = 600 MPa
Elongation = 50%

Here are the three points you identified (strain, stress)
(0,0)
(0.002,300)
(0.5,600)

If you knew the modulus of elasticity and when the curve first deviated from linear, you could approximate it. I.e., if you knew it was steel you could use around 207 GPa for Young's modulus, and draw a straight line until the curve deviated from linear (proportional limit), then approximate the rest of the points with a smooth curve up to failure (0.5, 600). Austentic stainless steels could have an elastic limit of around 50%, so if you knew this was the class of material you could find some stress strain plots and estimate the proportional limit, and then you would have enough information to estimate such a curve, or you could just "guess" the proportional limit (say 0.005), then that point would be

(0.005, 0.005*207,000)

And you could estimate a curve.
 

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