On 6/10/21 8:31 AM, Michael Lee wrote:
1) thin plate under pressure with *four edges simply supported*.
2) thin plate under pressure with *four corner points simply supported*.
2021-06-10_082227.png
For the first one, I tried the following code, but it seems boundary condition only works with face not on edge.

That is correct. Mathematically, you can only prescribe boundary conditions on portions of the boundary (i.e., on *faces*) but not on edges in 3d or vertices in 2d/3d. What is easy to do in deal.II matches what is mathematically possible.

Now, you will ask why other software packages allow you to do what is not easy in deal.II. The answer is that other packages generally use a fixed mesh, and on a fixed mesh, prescribing boundary conditions on a vertex is roughly equivalent to prescribing boundary conditions on the adjacent faces. That's ok if you keep the mesh fixed, but it means that you are changing the kind of boundary conditions every time you change the mesh if you use software that uses adaptive mesh refinement.

So my suggestion would be to think about the physical situation you want to model, and translate that into prescribing boundary conditions on faces instead of edges/vertices.

Best
 W.

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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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