Lisa,

> [...]
> I do not know how to output below values:
>
> 1- u_r
> 2- sigma_xx, sigma_yy
> 3- sigma_rr , sigma_tt
>
For computing these values you should have a look at the DataPostProcessor 
class [1]. Its use is explained in step-29.
What you basically want to do for u_r in there is something like

double r = 
std::sqrt(evaluation_points[0]*evaluation_points[0]+evaluation_points[0]*evaluation_points[0])
computed_quantities[i](0) = uh[i](0)*evaluation_points[0]/r + 
uh[i](1)*evaluation_points[1]/r

and similar things for sigma_*.

Best,
Daniel


[1] https://www.dealii.org/8.4.1/doxygen/deal.II/classDataPostprocessor.html

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