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In the above image we have the components of the Cauchy Stress Tensor in 2 dimensions. In the bottom left you see the cartesian co-ordinates are oriented as normal.

How do I know [itex]\sigma_{xy}[/itex] is oriented upwards on the right face and downwards on the left face? Is there a right-hand rule or standard about going anti-clockwise or something?

For example the rule for stresses [itex]\sigma_{ii}[/itex] is it is always normal to its face