Thank you Prof. for your reply.

I have already attached the code in previous mail. But after reading more
about Datapostprocedure class I understood that I can't multiply an array
directly to the computed_quantities.
I have also checked the attached link. I understand how we can assign
material_id when I have a variable (for ex. viscosity ) related to that
quantity (for ex. stress).

Here I wanted to ask 2 questions:
1. I have 2 materials in a single domain for which I already defined
material_id in triangulation. Now how to call these material_id while
calculating strain values? (as material_ids are only related with lambda
and mu).
2. I wanted to calculate stress for the same problem which I defined above.
I have the following relation but how to write this constitutive matrix (C)
while using datapostprocessor class?

[image: image.png]


Thanks & Regards,
Deepika

On Tue, Dec 13, 2022 at 5:30 AM Wolfgang Bangerth <[email protected]>
wrote:

>
> > 1. I have created the following geometry using CellData class. Now I
> wanted to
> > calculate stresses and strains under dirichlet and Neumann boundary
> conditions
> > for the attached triangulation.
> > For strain calculations I have used the DataPostprocedure tensor class,
> but my
> > problem is how to calculate stress while there are two materials in the
> same
> > domain?
>
> I see from your picture that you have already used the material_id to mark
> which cells are which. You can access the material_id of the cell you are
> currently working on from the DataPostprocessor object: The
> DataPostprocessorInputs object you are handed in the evaluate() function
> gives
> an example of how to do that:
>
>
> https://dealii.org/developer/doxygen/deal.II/structDataPostprocessorInputs_1_1CommonInputs.html
>
>
> > 2. I am also facing difficulty calculating single material, I tried the
> > procedure which is mention in documentation that multiply strain with
> > stress-strain tensor (considering lambda=1, mu =1), see below
> >
> > image.png
> >
> >
> > but I am getting the following error:
> >
> >   error: invalid operands of types ‘dealii::Tensor<1, 2>::value_type’
> {aka
> > ‘double’} and ‘int [3][3]’ to binary ‘operator*’
> >     68 |               = ((input_data.solution_gradients[p][d][e]
> >        |                 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
> >     69 |                  +
> >        |                  ~
> >     70 |                  input_data.solution_gradients[p][e][d]) / 2)*C;
> >        |                  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~
>
> Well, what data type do you use for 'C'? The error message says something
> about int[3][3], but it's not clear to me what that is. Can you show the
> code
> you use?
>
> Best
>   W.
>
> --
> ------------------------------------------------------------------------
> Wolfgang Bangerth          email:                 [email protected]
>                             www: http://www.math.colostate.edu/~bangerth/
>
>
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>

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