Help Concerning Nominal Strain and Stress

  • Thread starter Thread starter Pheijei
  • Start date Start date
  • Tags Tags
    Strain Stress
Click For Summary

Discussion Overview

The discussion revolves around the method of obtaining nominal stress and nominal strain, particularly in the context of testing a rubber sample assumed to be hyperelastic. Participants explore the definitions and calculations involved in engineering stress and strain, especially during a tensile test leading to material failure.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires whether nominal stress and strain can be calculated using simple equations, referencing the common identification of nominal stress/strain with engineering strain.
  • Another participant suggests that nominal stress/strain can be used when the material is uniformly loaded.
  • A follow-up question is posed about the appropriateness of using stress and strain values obtained from the test, considering the decrease in cross-sectional area due to elongation.
  • A different participant clarifies that engineering stress is calculated using the original cross-sectional area, even if the area decreases during the test, and notes that true stress is calculated using the actual cross-sectional area at the elongation point, leading to different stress-strain curves based on the definition used.

Areas of Agreement / Disagreement

Participants express differing views on the implications of using nominal stress and strain in the context of changing cross-sectional area during testing. There is no consensus on the best approach to take regarding the definitions and calculations of stress and strain in this scenario.

Contextual Notes

Participants acknowledge the complexity of defining stress and strain based on the conditions of the test, particularly regarding the effects of necking in materials under load. The discussion highlights the dependence on definitions and the assumptions made about uniform loading.

Pheijei
Messages
2
Reaction score
0

Homework Statement


This is just a simple questions concerning the method of obtaining nominal stress and nominal strain. From various sources on the net they refer to nominal stress/strain as engineering strain
therefore can I just use the simple equations for stress and strain?

In this instance the material I'm looking at is rubber and I've assumed it is a hyper elastic material. I've elongated the sample piece (for simplicity's sake assume the sample is a square) until failure and recorded such data as Force,elongation,stress.

So for this instance how would I determine nominal stress and nominal strain?

Homework Equations





The Attempt at a Solution



Thanks
 
Physics news on Phys.org
You would use 'nominal' stress/strain once you assume that whatever you're doing the calculation on is unformly distributed.
 
For this case yes it is uniformly loaded.
So it is okay to use values obtained from the test? (Stress, Strain)
Even though during the test the cross-sectional area is decreasing from the elongation?
Thanks
 
You say you recorded force, elongation, and stress. The force is what it is and the strain/elongation is what it is. Engineering stress is force divided by original cross sectional area, even when the the cross section starts to neck down considerably at high loads. True stress is force divided by actual cross section area at the particular elongation point, and is thus more than the engineering stress at the high load levels. So depending on how you define stress, you get different stress -strain curves. If you are just recording force and elongation during the test, it is easier to use engineering stress, since the original cross section is known, if you are given that choice.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 5 ·
Replies
5
Views
10K
  • · Replies 3 ·
Replies
3
Views
5K
Replies
4
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 5 ·
Replies
5
Views
17K
  • · Replies 2 ·
Replies
2
Views
30K
  • · Replies 48 ·
2
Replies
48
Views
11K
  • · Replies 1 ·
Replies
1
Views
17K