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Can some one write for me the Symmetric part of a third order tensor (as a tensor form)

Thanks .

Thanks .

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- Thread starter mikeeey
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- #1

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Can some one write for me the Symmetric part of a third order tensor (as a tensor form)

Thanks .

Thanks .

- #2

HallsofIvy

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[itex]A_{ijk}= A_{jik}[/itex], or [itex]A_{ijk}= A_{ikj}[/itex], or [itex]A_{ijk}= A_{kji}[/itex]. You could even have a kind of symmetry by "rotating" the indices: [itex]A_{ijk}= A_{kij}= A_{jki}[/itex].

- #3

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[tex]T_{[abc]} = \frac{1}{6} \big( T_{abc} -T_{acb} + T_{bca} -T_{bac} + T_{cab} -T_{cba} \big) [/tex]

this is the anti-symmetric part of a third order tensor, i want to write me the symmetric part of a third order tensor

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- #6

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Thanks you very much . Lperrich.

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