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1. NAFEMS LE1 Benchmarck

This benchmark is extract from the Abaqus Benchmarks Manual.

1.1. Definition

We focus on the LE1 benchmarks in particular.

1.1.1. Geometry

The geometry is given here by :

1.1.2. Boundary conditions

We set:

  • \(u_y = 0\) on DC

  • \(u_x = 0\) on AB

  • \(\bar{\bar{\varepsilon}}\cdot\mathbf{n}=1e^7\) on BC.

1.2. Inputs

We have the following parameters:

Table 1. Inputs
Name Value


\(210\, GPa\)




\(7800\, kg/m^2\)

1.3. Outputs

We want to compare the value of \(\sigma_{yy}\) at the point D. The reference value is \(92.7\, MPa\).

1.4. Results

The value of \(\sigma_{yy}\) at the point D is \(94.09\, MPa\) for \(32 000\) dofs, which is \(1.49%\) 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.