Geometry and boundary conditions

[benhour....@gmail.com]

Dear All,

I want to define a new geometry (a quarter of a circle) and apply symmetry boundary condition on two sides of the quarter. It would be very kind of you if you help me for that.

Best,

Benhour

[Daniel Arndt]

Benhour,

Have a look at the implementation of GridGenerator::half_hyper_ball [1]. 

You probably just want to use the first 4 vertices and then 

p,

p+Point<2>(0,-1) *(radius/std::sqrt(2.0)*a),

p+Point<2>(0,-1) *radius,

additionally.

Can you specify in formulas what symmetry boundary conditions mean for you?

Best,

Daniel

[1] https://www.dealii.org/developer/doxygen/deal.II/grid__generator_8cc_source.html

[benhour....@gmail.com]

Dear Daniel,

Thanks very much for your response. I should model a whole circle, however for simplicity I want to model one quarter of it. In fact I have 2 quarter of circles with different radius and with the same center. I have a boundary load on the perimeter(curve) side of the circle, axial symmetry on the vertical side and symmetry (n.u=0, n is the unit normal vector and u is the displacement) on the horizontal side. In fact my figure has three vertices. It should be noted that the center of the quarter is fixed. In addition, the symmetry axis coincides on the vertical axis. I do really appreciate your kindness if you help me how I can define these geometry and boundary conditions for this problem.

Thanks,

Benhour

[Jean-Paul Pelteret]

Hi Benhour,

Have you looked at any of the tutorials on geometry creation and solid mechanics? I believe that these specific points are covered there.

Regards,

J-P