Hi, everyone:

I am doing a solid mechanics problem (plane stress), and I have already got 
the displacement solution. Now I need to use them to compute stress
distribution with the constitutive relation, namely:

<https://lh3.googleusercontent.com/-VMQA7z7hj0U/V0EdaSD1iXI/AAAAAAAAACY/uC6BlstmQ5MA0dlu8xAEw3nNARDsRABuQCLcB/s1600/constitutive.png>
So, I also need to compute shape gradient values at the nodal points, and 
then attach these stress solutions to the corresponding nodes when output 
results.

But the problem here is that I need to know shape gradient values at 
triangulation nodal points. It seems that I can only use FEValues to 
achieve this, but FEValues can only give me
shape gradient values at quadrature points. So I tried to create a second 
order QGaussLobatto object, so that the quadrature points are the same with 
nodal points, and the quadrature points of index 0, 1, 2 and 3 corresponds 
respectively to each node of one cell. However it's still not that easy to 
control the which node this quadrature object actually refers to when I 
want to compute the stress at a given triangullation node.

Dose anyone have some suggestions or better ideas about this? Any help 
would be greatly appreciated!

Best regards,
David.





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