Stress Tensor vs Stress Matrix: What's the Difference?

AI Thread Summary
Stress is a second-rank tensor that can be represented as a matrix, with no fundamental difference between the two. The distinction lies in the fact that a matrix is a specific representation of a tensor within a defined coordinate system. The tensor itself remains independent of any coordinate system. Understanding this relationship is crucial for applying stress concepts in various fields. Overall, the terms are often used interchangeably, but their definitions highlight important nuances in mathematical representation.
DC.Shivananda
Messages
6
Reaction score
0
Hi,can u please tell me the difference between the Stress tensor & the Stress matrix...
 
Engineering news on Phys.org
Hi DC.Shivananda, welcome to PF!

There is no difference. Stress is a second-rank tensor, which is equivalent to a matrix. (For comparison, a first-rank tensor is a vector, and a zero-rank tensor is a scalar.)
 
Mapes said:
Hi DC.Shivananda, welcome to PF!

There is no difference. Stress is a second-rank tensor, which is equivalent to a matrix. (For comparison, a first-rank tensor is a vector, and a zero-rank tensor is a scalar.)
That's somewhat true, depending on how rigorous you want to be.

A matrix is the representation of a tensor in a certain coordinate system. The tensor itself exists regardless of coordinate system, but you can only put it in matrix form once you define a coordinate system.
 
Ah, good point!
 

Thread 'Bubble formation in 4 mm gap vessel'

How did you find PF?: Via Google search Hi, I have a vessel I 3D printed to investigate single bubble rise. The vessel has a 4 mm gap separated by acrylic panels. This is essentially my viewing chamber where I can record the bubble motion. The vessel is open to atmosphere. The bubble generation mechanism is composed of a syringe pump and glass capillary tube (Internal Diameter of 0.45 mm). I connect a 1/4” air line hose from the syringe to the capillary The bubble is formed at the tip...
View full post »
Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'

Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'

Scenario 1 (figure 1) A continuous loop of elastic material is stretched around two metal bars. The top bar is attached to a load cell that reads force. The lower bar can be moved downwards to stretch the elastic material. The lower bar is moved downwards until the two bars are 1190mm apart, stretching the elastic material. The bars are 5mm thick, so the total internal loop length is 1200mm (1190mm + 5mm + 5mm). At this level of stretch, the load cell reads 45N tensile force. Key numbers...
View full post »

Thread 'Find 3D Printer & Software Resources for Prototype Creation'

I'd like to create a thread with links to 3-D Printer resources, including printers and software package suggestions. My motivations are selfish, as I have a 3-D printed project that I'm working on, and I'd like to buy a simple printer and use low cost software to make the first prototype. There are some previous threads about 3-D printing like this: https://www.physicsforums.com/threads/are-3d-printers-easy-to-use-yet.917489/ but none that address the overall topic (unless I've missed...
View full post »

Similar threads

What is the relationship between force lines and the stress tensor field?
Replies
18
Views
2K
Understanding the Cauchy Stress Tensor: Clearing Up My Confusion
Replies
7
Views
2K
Cauchy's Formula for Stress tensor
Replies
12
Views
2K
Understanding elastic tensor matrix intuitively
Replies
4
Views
2K
Invariants of the stress tensor (von Mises yield criterion)
Replies
2
Views
2K
Confidence in FEA stress values?
Replies
9
Views
3K
I Is the Cauchy stress tensor really a tensor?
Replies
8
Views
2K
A Conflicting results about Stress tensor symmetry on EM field
Replies
18
Views
410
Principal Stresses in a Shear Flow
Replies
1
Views
1K
Calculating Chain Link Strength: Which Method Should You Use?
Replies
7
Views
4K

Hot Threads

Recent Insights

Back
Top