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Voigt notation in Mathematica

July 20, 2018   BI News and Info
 Voigt notation in Mathematica

In the computational mechanics software (Abaqus, Ansys, Comsol, etc), Voigt notation is always used to represent a symmetric tensor by reducing its order.

Now I would ask How can we get the Voigt Notation from second order tensor or fourth order tensor in a very efficient way in Mathematica.

e.g. second order tensor: Array[Subscript[a, ## & @@ Sort[{##}]] &, {6, 6}] // MatrixForm

PS: ‘(Manual) using hand writing’ is not a good way.

Reference Links: https://en.wikipedia.org/wiki/Voigt_notation

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mathematica, notation, Voigt
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