On 8/8/22 15:11, Simon Wiesheier wrote:
grafik.png
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The only place I use Dev_P is to compute the above double contractions ('P' in
the above is what dealii returns as Dev_P)
As you can see, the fourth order tangent C_bar consists of outer products of
second order symmetric tensors:
boldsymbol 'I' is the second order unit tensor, C_bar is a symmetric second
order tensor, and blackboard 'I' is the general fourth order unit tensor,
the deltas are just scalars.
In my opinion, the double contractions 'P : outer_product(C_bar, C_bar)' and
'P : I' produce different results if the fourth order symmetric unit tensor
'S' is used to define 'P' .
The same holds also for doing the double contractions with P_T.
Correct?
Not being a nonlinear mechanics person, I'll have to defer to someone else
with more knowledge about these matters :-(
Best
W.
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Wolfgang Bangerth email: bange...@colostate.edu
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