1. Reference problem#

1.1. Geometry#

Consider a \(10\mathrm{mm}\) side plate with a \(1\mathrm{mm}\) diameter hole.

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1.2. Material properties#

\(E=\mathrm{1MPa}\)

Young’s module

\(\nu =0.3\)

Poisson’s ratio

1.3. Boundary conditions and loads#

The plate is blocked on its entire periphery according to its degrees of freedom \(\mathrm{DX}\), \(\mathrm{DY}\),, \(\mathrm{DZ}\), \(\mathrm{DRX}\), \(\mathrm{DRY}\), \(\mathrm{DRZ}\).

A discrete with degrees of freedom \(\mathrm{DX}\), \(\mathrm{DY}\), \(\mathrm{DZ}\) is placed in the center of the hole. It is connected by a \(\mathrm{RBE3}\) type connection to the entire periphery of the circular hole.

The center of the circle is subject to a nodal force \(\mathrm{FX}=-0.123456701636\), \(\mathrm{FY}=-0.246913403273\), \(\mathrm{FZ}=-0.370370090008\).

1.4. Initial conditions#

Néant