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

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SUMMARY

The discussion clarifies that a stress tensor is fundamentally equivalent to a stress matrix, as both represent the same physical concept in mechanics. A stress tensor is classified as a second-rank tensor, while a first-rank tensor is a vector and a zero-rank tensor is a scalar. The distinction lies in the representation; a matrix is a specific representation of a tensor within a defined coordinate system, emphasizing that the tensor's existence is independent of coordinates.

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DC.Shivananda
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Hi,can u please tell me the difference between the Stress tensor & the Stress matrix...
 
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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!
 

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