Dear Seyed,
 

> My problem is not the theory. 
>

Providing the theory is for our benefit (and therefore yours). No one here 
is necessarily an expert in what you're trying to accomplish. So, for all 
of your explanation, an equation or two might go a long way to help us 
understand exactly what you're trying to achieve and, therefore, help us 
suggest how you would accomplish it. If you can't express your problem 
clearly then please don't be surprised if you don't receive any meaningful 
assistance. Help us help you.

It is quite difficult to store data in deal.II since there is no 
> processinfo or such a thing which tracks all data created and stored over 
> the computation. ...


Deal.II does not attempt to be the beginning and end of provided 
functionality. Yes, there are times when deal.II does not provide some 
functionality that you require. There are a zoo of other libraries that you 
could also use to extend your code and fill in the gaps that deal.II does 
not provide. Of course, we always welcome extensions to existing features 
(e.g the relatively new CellDataStorage class 
<https://www.dealii.org/developer/doxygen/deal.II/classCellDataStorage.html> 
and TransferableQuadraturePointData class 
<https://www.dealii.org/developer/doxygen/deal.II/classTransferableQuadraturePointData.html>)
 
or the addition of new ones.

Now I try to compute the material forces for the whole structure. Hence, I 
> tried using the same procedure of assembly for our LHS or RHS matrices in 
> deal.II, but it fails.
>

Is this a deal.II error or a user error? Have you repopulate the 
local_dof_indices vector for each new cell that you're doing this 
"assembly" on? It looks like all contributions are going to a fixed set of 
global DoFs.

Regards,
Jean-Paul

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