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Do these mean shear and stress in the respective directions?

Do these mean shear and stress in the respective directions?

Do these mean shear and stress in the respective directions?

(OP)
The first three mean stress in the first, second and third direction, for example in the x, y and z direction:



What would the last three numbers mean -(23,32) , (13,31) , (12,21)? I understand that they represent shear, but how does it work with directions? Are there any good illustrations of this?

RE: Do these mean shear and stress in the respective directions?

If X = 1, Y = 2, and Z = 3 (in your typical coordinate triad), then:
σ11 is the (normal) stress on the X face in the X-direction
σ22 is the (normal) stress on the Y face in the Y-direction
σ33 is the (normal) stress on the Z face in the Z-direction
σ12 is the (shear) stress on the X face in the Y-direction, while σ21 is the (shear) stress on the Y face in the X-direction
σ23 is the (shear) stress on the Y face in the Z-direction, while σ32 is the (shear) stress on the Z face in the Y-direction
σ13 is the (shear) stress on the X face in the Z-direction, while σ31 is the (shear) stress on the Z face in the X-direction

RE: Do these mean shear and stress in the respective directions?

The stress tensor is a 3 X 3 matrix, with the normal stresses on the diagonal. The tensor is symmetric, so σ12 = σ21, and so on.

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