True Stress-Strain Curve on the Log Scale: Which portion is the plastic region?

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SUMMARY

The discussion centers on identifying the elastic and plastic regions of a true stress-strain curve plotted on a log-log scale. Participants confirm that the elastic region precedes the plastic region, as dictated by Hooke's Law, which states that stress is proportional to strain in the elastic region. However, it is noted that if the graph is correctly drawn, the elastic region may not be visible, complicating the differentiation between the two regions.

PREREQUISITES
  • Understanding of Hooke's Law
  • Familiarity with stress-strain curves
  • Knowledge of log-log scale graphing
  • Basic concepts of material deformation
NEXT STEPS
  • Study the principles of Hooke's Law in detail
  • Learn how to interpret stress-strain curves
  • Explore the differences between linear and log-log scale graphs
  • Investigate material properties related to elastic and plastic deformation
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Materials scientists, mechanical engineers, and students studying material mechanics who seek to understand the behavior of materials under stress and strain.

gikiian
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My math is a little weak, so I'm having a hard time finding the elastic and plastic regions on this curve. Any further help will also be appreciated!

Strain-hardening.jpg
 
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Remember Hooke's law. What comes first, elastic or plastic action, when stretching a specimen?
 
The elastic region comes first. But can you differentiate between the two in the figure?
 
Hooke's law says that in the elastic region, stress is proportional to strain.

In your graph you have a strainght line on a log log scale (not a linear scale) but the stress and strain are not proportional.

If your graph is drawn correctly, you can't find the elastic region because it isn't shown on the graph!
 

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