Benchmark solution
=====================


Reference quantities
----------------------

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

For the nodal forces and displacements following :math:`\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


Benchmark results
----------------------

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

The other results tested are:

Travel to point :math:`A`:


* :math:`\mathrm{DX}=-4.28571\text{m}`


* :math:`\mathrm{DY}=0\text{m}`

Travel to point :math:`B`:


* :math:`\mathrm{DX}=+4.28571\text{m}`


* :math:`\mathrm{DY}=0\text{m}`

Nodal forces at points :math:`A` and :math:`B`:


* :math:`\mathrm{DY}=+2.19780\mathrm{.}{10}^{10}N`