Dear Daniel,
I have applied periodic boundary condition on displacement field for a
square 2D domain and in order to apply boundary displacement I want to
consider relative displacement between pair faces, namely,
u_x (0,y)=u_x(L,y)+delta_x and u_y (x,0)=u_y(x,L)+delta_y , using
"constraints.set_inhomogeneity"
. I have used the following code for relative displacement between pair
faces:
{
IndexSet selected_dofs_x;
std::set< types::boundary_id > boundary_ids_x=
std::set<types::boundary_id>();
boundary_ids_x.insert(0);
DoFTools::extract_boundary_dofs(dof_handler,
fe.component_mask(x_displacement),
selected_dofs_x,
boundary_ids_x);
unsigned int nb_dofs_face_x = selected_dofs_x.n_elements();
IndexSet::ElementIterator dofs_x = selected_dofs_x.begin();
double relative_displacement_x;
if (timestep <10)
relative_displacement_x = -0.1e-9;
else
relative_displacement_x = -0.01e-9;
for(unsigned int i = 0; i < nb_dofs_face_x; i++)
{
constraints.set_inhomogeneity(*dofs_x, (apply_dirichlet_bc ?
relative_displacement_x : 0.0));
dofs_x++;
}
}
{
IndexSet selected_dofs_y;
std::set< types::boundary_id > boundary_ids_y=
std::set<types::boundary_id>();
boundary_ids_y.insert(2);
DoFTools::extract_boundary_dofs(dof_handler,
fe.component_mask(y_displacement),
selected_dofs_y,
boundary_ids_y);
unsigned int nb_dofs_face_y = selected_dofs_y.n_elements();
IndexSet::ElementIterator dofs_y = selected_dofs_y.begin();
double relative_displacement_y;
if (timestep <10)
relative_displacement_y = 0.05e-9;
else
relative_displacement_y = 0.005e-9;
for(unsigned int i = 0; i < nb_dofs_face_y; i++)
{
constraints.set_inhomogeneity(*dofs_y, (apply_dirichlet_bc ?
relative_displacement_y : 0.0));
dofs_y++;
}
}
Periodic boundary condition works great without boundary displacement and I
can apply boundary displacement without any problem in two conditions :
First, considering displacement between only two faces for example left and
right faces, second, applying periodicity for only one components of
displacement on pair faces, namely, u_x for left and right faces and u_y
for top and bottom faces. However, considering periodicity for the both
displacement components on pair faces and at the same time, applying both
u_x (0,y)=u_x(L,y)+delta_x and u_y (x,0)=u_y(x,L)+delta_y, the
corner elements get distorted. In the attached picture you can see what
happens.
Any hint about the source of error would be appreciated.
Thanks,
Hamed
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