Are Principal Strains Always Tensile/Compressive or Can They Be Shear?

  • Context: Graduate 
  • Thread starter Thread starter kini.Amith
  • Start date Start date
  • Tags Tags
    Nature
Click For Summary

Discussion Overview

The discussion centers on the nature of principal strains and whether they can be shear strains, as well as the relationship between principal strain planes and principal stress planes. It explores theoretical aspects of strain and stress in materials.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions whether principal strains can include shear strains, suggesting a potential ambiguity in definitions.
  • Another participant asserts that principal stresses are defined as normal and not shear, indicating that they are normal to the principal planes.
  • A different viewpoint emphasizes that principal strains represent maximum strains at a point, and challenges the assumption that they are necessarily orthogonal to principal planes, referencing a textbook derivation.
  • Another contribution states that in a compatible stress/strain field, a coordinate system can be found where only normal stresses exist, which are defined as principal stresses and are orthogonal, implying they are tensile rather than shear.

Areas of Agreement / Disagreement

Participants express differing views on the definitions and characteristics of principal strains and stresses, indicating that multiple competing perspectives remain without consensus.

Contextual Notes

There are unresolved assumptions regarding the definitions of principal strains and stresses, as well as the implications of their orthogonality and nature (tensile vs. shear).

kini.Amith
Messages
83
Reaction score
1
Are principal strains necessarily tensile/compressive or can they be shear strains also? And are the principal strain planes parallel to principal stress planes at a point?
 
Physics news on Phys.org
By definition, principle stresses are normal in nature and not shear and are normal to the principal planes.
 
I thought by definition principal strains were just the maximum strains at a point and the fact that they are normal to principal planes is not so obvious. My textbook even has a formal derivation just to prove that the principal strains are orthogonal.
 
The idea is that in any compatible stress/strain field, you can find a coordinate system in which the only stresses are normal. These stresses are the principal stresses and are orthogonal. By definition, then, they are tensile rather than shear in nature.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 15 ·
Replies
15
Views
7K
Replies
19
Views
2K