NAFEMS LE10 Benchmarck
This benchmark is extract from the Abaqus Benchmarks Manual.
Definition
We focus on the LE10 benchmarks in particular.
Geometry
The geometry is given here by :
where the thickness is \$0.6\$.
In addition, we define the point E which is the midpoint of CC' and E' the midpoint of BB'.
Boundary conditions
We set:

\$u_y = 0\$ on DCD’C'

\$u_x = 0\$ on ABA’B'

\$u_x = u_y = 0\$ on BCB’C'

\$\bar{\bar{\varepsilon}}\cdot\mathbf{n}=1e^6\$ on the top surface.
Inputs
We have the following parameters:
Name  Value 

\$E\$ 
\$210\, GPa\$ 
\$\nu\$ 
\$0.3\$ 
\$\rho\$ 
\$7800\, kg/m^2\$ 
Outputs
We want to compare the value of \$\sigma_{yy}\$ at the point D. The reference value is \$5.38\, MPa\$.
Results
The value of \$\sigma_{yy}\$ at the point D is \$5.53\, MPa\$ for \$300 000\$ dofs, which is \$2.78%\$ higher than the target.
One possibility to get a more accurate output is to use a mixed formulation, where the stress tensor would also be an unknown.