2. Benchmark solution

2.1. Reference quantities

The reference quantities used are the displacements \(\mathrm{DX}\) and \(\mathrm{DY}\) of the points \(A\) and of the points and \(B\) and the nodal forces \(\mathrm{DY}\) of these same points.

For the nodal forces and displacements following \(\mathrm{DX}\), it is the results of modeling A that serve as a reference for modeling B.

This modeling is based on the use of a contact condition

2.2. Benchmark results

With \({E}^{1}\gg {E}^{2}\), \(\mathrm{EFGH}\) can be considered rigid and therefore the movements following \(\mathrm{DY}\) of the points \(A\) and \(B\) are zero. This reference is analytical.

The other results tested are:

Travel to point \(A\):

• \(\mathrm{DX}=-4.28571\text{m}\)

• \(\mathrm{DY}=0\text{m}\)

Travel to point \(B\):

• \(\mathrm{DX}=+4.28571\text{m}\)

• \(\mathrm{DY}=0\text{m}\)

Nodal forces at points \(A\) and \(B\):

• \(\mathrm{DY}=+2.19780\mathrm{.}{10}^{10}N\)