1. Reference problem#

1.1. Geometry#

The structure is modelled in plane deformations.

_images/100000000000019B000002580744CFEAB0C9D0D2.png

Note \(B\) the point on the upper side of the block belonging to the plane of symmetry.

1.2. Material properties#

Block:

Poisson’s ratio: \(\mathrm{0,3}\)

Young’s module: \(70000{\mathit{N.mm}}^{-2}\)

Cylinder:

Poisson’s ratio: \(\mathrm{0,3}\)

Young’s module: \(210000{\mathit{N.mm}}^{-2}\)

The coefficient of friction between the block and the cylinder is \(\mu =\mathrm{0,1}\) .

1.3. Boundary conditions and loads#

Since the structure is symmetric and subjected to a loading that respects symmetry, only one half is shown. We therefore apply \(\mathit{DX}=0\) on the plane of symmetry.

The block is embedded at its base:

  • \(\mathit{DX}=0\)

  • \(\mathit{DY}=0\)

The cylinder is subjected to a point force at its top:

  • \(\mathit{FY}=35\mathit{kN}\), which is \(\mathit{FY}=17500N\) for the semi-structure