Hi Hamed,
I was in the same boat a few weeks ago. After reading through some of the 
other posts on this list (which Jean-Paul linked), I wrote the following 
method that you and maybe others will find useful.

It takes in a vector containing the list of components of a field that need 
point constraints (rigidBodyModeComponents) and adds a constraint where 
needed:
https://github.com/prisms-center/phaseField/blob/next/src/matrixfree/boundaryConditions.cc
(lines 43-75)

Cheers!
Steve


On Thursday, October 20, 2016 at 7:38:19 PM UTC-4, Hamed Babaei wrote:
>
> Hi friends,
>
> For an elastic problem, I am going to apply zero boundary displacements 
> for three specific points on the center of -x, -y and -z planes of a cubic 
> domain.
> I have already done this but for the boundary surface not a boundary point 
> (the same as incremental_boundary_displacement in step-18). 
> The following is what I wrote to do so which doesn't work properly. In 
> fact, it fixes the whole -x, -y and -z surfaces, not just for the three 
> points on them that I intended. 
>
>           template <int dim>
>           class BoundaryCondition :  public Function<dim>
>           {
>           public:
>          BoundaryCondition (const int boundary_id);
>             virtual void vector_value (const Point<dim> &p,
>                                 Vector<double>   &values) const;
>             virtual void vector_value_list (const std::vector<Point<dim> > 
> &points,
>                                    std::vector<Vector<double> >   
> &value_list) const;
>           private:
>             const int boundary_id;
>
>           };
>           template <int dim>
>           BoundaryCondition<dim>::BoundaryCondition (const int boundery_id)
>             :
>             Function<dim> (dim),
> boundary_id(boundary_id)
>
>           {}
>           template <int dim>
>           inline
>           void
>         BoundaryCondition<dim>::vector_value (const Point<dim> &p,
>                                         Vector<double>   &values) const
>           {
>             Assert (values.size() == dim,
>                     ExcDimensionMismatch (values.size(), dim));
>
>             Point<dim> point_x;
>             point_x(1) = 5;
>             point_x(2) = 5;
>
>             Point<dim> point_y;
>             point_y(0) = 5;
>             point_y(2) = 5;
>
>             Point<dim> point_z;
>             point_z(0) = 5;
>             point_z(1) = 5;
>
>
>             if      (boundary_id ==0 && ((p-point_x).norm_square() 
> <(0.5e-9)*(0.5e-9)))
>                values(0) = 0;
>             else if (boundary_id ==2 && ((p-point_y).norm_square() < 
> (0.5e-9)*(0.5e-9)))
>                values(1)= 0;
>             else if (boundary_id ==4 && ((p-point_z).norm_square() < 
> (0.5e-9)*(0.5e-9)))
>                values(2)= 0;
>
>           }
>           template <int dim>
>           void
>         BoundaryCondition<dim>::vector_value_list (const 
> std::vector<Point<dim> > &points,
>                                              std::vector<Vector<double> > 
>   &value_list) const
>           {
>             const unsigned int n_points = points.size();
>             Assert (value_list.size() == n_points,
>                     ExcDimensionMismatch (value_list.size(), n_points));
>             for (unsigned int p=0; p<n_points; ++p)
>            BoundaryCondition<dim>::vector_value (points[p],
>                                             value_list[p]);
>           }
>
> .....and in the constraint I have 
> added VectorTools::interpolate_boundary_values for every boundary plane, 
> for example for the -x plane it looks like :
>
>
> VectorTools::interpolate_boundary_values(dof_handler,
>                                                      boundary_id,
>                                                     
>  BoundaryCondition<dim> (boundary_id),
>                                                      constraints,
>                                                     
>  fe.component_mask(x_displacement));
>
>
> I don't know why it doesn't recognize the if condition "  if     
>  (boundary_id ==0 && ((p-point_x).norm_square() <(0.5e-9)*(0.5e-9)))" !!!
>
> I was wondering if you know where I am making mistake, or if there is any 
> step in which this boundary condition has applied.
>
> Thanks,
> Hamed
>

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