1. Reference problem#

_images/10000000000003C0000002D027E30D4A6A3CCF75.png

1.1. Geometry#

The square is in space \([0.\mathrm{,1}\mathrm{.}]\times [0.\mathrm{,1}\mathrm{.}]\).

Coordinates of points \((m)\):

\(A:(0.,0.)\) \(E:(0.5,0.)\)

\(B:(1.,0.)\) \(F:(0.5,0.5)\)

\(C:(1.,1.)\) \(G:(0.,0.5)\)

\(D:(0.,1.)\) \(H:(0.25,0.25)\)

Mesh groups:

  • Surface \(\mathrm{ABCD}\)

  • Surface \(\mathrm{AEFG}\)

  • Segments \(\mathrm{AB}\) and \(\mathrm{CD}\)

1.2. Material properties#

\(E=1.0\mathrm{E5}N/{m}^{2}\)

\(\nu =0.3\)

1.3. Boundary conditions and loads#

First model \(\mathrm{ABCD}\):

  • Compulsory trips:

\(\mathrm{AB}\): \(\mathrm{DX}=\mathrm{DY}=0\)

  • Imposed loads:

\(\mathrm{CD}\): \(\mathrm{FX}=1.\mathrm{E4}N\) and \(\mathrm{FY}=2.\mathrm{E4}N\)

Second model \(\mathrm{AEFG}\) (Zoom)

  • Compulsory trips:

Displacements obtained with the first model, imposed on edge \(\mathrm{AEFG}\) of the second model.