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## Homework Statement

stress tensor in cartesian components.

[tex]\sigma[/tex] is the stress tensor.

[tex]e_i[/tex] are the basis vectors

## Homework Equations

[tex]\sigma \cdot \sigma[/tex]

## The Attempt at a Solution

I tried to write out the components with a cartesian basis:

[tex]\sigma=\sigma_{ij} (e_i \otimes e_j)[/tex]

But then I'm stuck on

[tex]\sigma \cdot \sigma = \sigma_{ij} (e_i \otimes e_j) \cdot \sigma_{ji} (e_j \otimes e_i) [/tex]

How can that be a scalar, since it is the scalar product...

I have no idea if this is the right approach, should I explicit use the unit vectors e_i to emphasize the cartesian components?

Thanks in advance.

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