1. Reference problem#

_images/10000000000003AA00000282E2CA8E6B6DE6C0CE.png

1.1. Geometry#

Coordinates:

The geometry is shown above.

The coordinate system is centered at \(A\) with coordinates \((\mathrm{0,0})\).

\(L=50m\)

Mesh group:

  • surfaces \(\mathrm{ABCD}\), \(\mathrm{EFGH}\)

  • segments \(\mathrm{AB}\), \(\mathrm{HE}\)

1.2. Material properties#

\(\mathrm{EFGH}\): \({E}_{1}=\mathrm{2,0}\mathrm{.}{10}^{16}\text{Pa}\)

\(\mathrm{ABCD}\): \({E}_{2}=\mathrm{2,0}\mathrm{.}{10}^{9}\text{Pa}\)

\(\mathrm{ABCD}\)/\(\mathrm{EFGH}\): \(\nu =\mathrm{0,3}\)

Springs: stiffness \(k\) in \(x\) and \(y\), \(k=10\text{N.m}{}^{-1}\)

1.3. Boundary conditions and loading#

\(\mathrm{EFGH}\):

  • side \(\mathrm{FG}\) recessed (\(\mathrm{DX}=\mathrm{DY}=0\))

  • side \(\mathrm{HE}\) contact condition

\(\mathrm{ABCD}\):

  • forced displacement on side \(\mathrm{CD}\) (\(\mathrm{DY}=-\mathrm{1,0}\))

  • side \(\mathrm{AB}\) contact condition

Springs:

  • embedding of points \(\mathrm{R1}\) and \(\mathrm{R2}\)