Understanding Traceless Compression in Solid State Physics: An Explanation

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Discussion Overview

The discussion revolves around the concept of "traceless compression" in solid state physics, exploring its definition and implications in the context of stress tensors and matrix terminology. Participants seek to clarify the meaning of "traceless" and its application to compression and shear in materials.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants suggest that "traceless" refers to the sum of the diagonal elements of a matrix being zero, while others initially propose that it means the product of diagonal elements is zero.
  • There is a discussion about whether "traceless compression" uses the same definition of "traceless" as in shear or other matrices.
  • One participant notes that for a stress tensor to be traceless, at least one uniaxial stress component must be tensile while another must be compressive.
  • Another participant questions the terminology, wondering when to use "traceless compression" versus "traceless tension," indicating uncertainty about the term's usage.

Areas of Agreement / Disagreement

Participants express differing interpretations of what "traceless" means in this context, with no consensus reached on the definition or the application of "traceless compression." The discussion remains unresolved regarding the terminology and its implications.

Contextual Notes

Some participants express uncertainty about the term "traceless compression," indicating a lack of references or prior knowledge about its usage in solid state physics.

savasagduk
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Hi I'm a beginner in solid state physics. My question is :

What does it mean "Traceless Compression" ?

In matris terms "traceless" means product of diagonal elements is zero .

is this the same thing ?
Thank you for any help .
 
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savasagduk said:
Hi I'm a beginner in solid state physics. My question is :

What does it mean "Traceless Compression" ?

In matris terms "traceless" means product of diagonal elements is zero .

is this the same thing ?
Thank you for any help .


I cannot find an online reference to this, but I have never heard of another definition for "Traceless". Compression or Shear, traceless is traceless in a matrix.
 
"Traceless" means the sum of the diagonal elements is zero. :wink:
 
tiny-tim said:
"Traceless" means the sum of the diagonal elements is zero. :wink:

I missed that, sorry. Still, traceless compression is the same use of traceless as in shear or any other matrix, correct?
 
Patrus89 said:
I missed that, sorry. Still, traceless compression is the same use of traceless as in shear or any other matrix, correct?

I assume so. :smile:
 
savasagduk said:
Hi I'm a beginner in solid state physics. My question is :

What does it mean "Traceless Compression" ?

In matris terms "traceless" means product of diagonal elements is zero .

is this the same thing ?
Thank you for any help .
I've never heard that term. For the stress tensor to be traceless, at least one of the uniaxial stress components needs to be tensile, while another one needs to be compressive.

If you do find a reference that explains this term, please post it here.
 
Hi Gokul! :smile:
Gokul43201 said:
For the stress tensor to be traceless, at least one of the uniaxial stress components needs to be tensile, while another one needs to be compressive.

Isn't that exactly what happens when you squeeze most things? Compression in the direction you squeeze it, and tension in perpendicular directions?
 
tiny-tim said:
Hi Gokul! :smile:


Isn't that exactly what happens when you squeeze most things? Compression in the direction you squeeze it, and tension in perpendicular directions?
Yes, squeeze or stretch, you essentially conserve volume if you're in the elastic regime. But I've never heard that term before, and wonder when you call something a traceless compression as opposed to say, a traceless tension.
 

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