2. Benchmark solution

Without contact, each zone must undergo a rigid body movement corresponding to the limit condition imposed on its edge (right or left).

With contact, the 4 blocks undergo uniform compression according to \(\text{X}\) and \(\text{Y}\). The displacement of the structure can be expressed in the following way:

\({\mathrm{Depl}}_{X}(X)=-(5+X)\frac{\mathrm{Press}}{E}\) eq 2.1-1

\({\mathrm{Depl}}_{Y}(Y)=-(5+Y)\frac{\mathrm{Press}}{E}\) eq 2.1-2