2. Benchmark solution

2.1. Calculation method

The bar is subjected to isotropic compression. The interfaces that cross the block are cohesive, so the bar should behave like a non-cracked bar. In addition, the material is elastic. It is therefore expected to observe the isotropic compression of an elastic material.

2.2. Reference quantities and results

The trips are then given by:

\(\begin{array}{c}{u}_{x}=(x)=U(1-\frac{x}{\mathit{LX}})\\ {u}_{y}(y)=0\\ {u}_{z}(z)=-U\frac{z}{\mathit{LZ}}\end{array}\)

2.3. Uncertainty about the solution

None, it is an analytical solution.