# NAFEMS LE1 Benchmarck

This benchmark is extract from the Abaqus Benchmarks Manual.

## Definition

We focus on the LE1 benchmarks in particular.

### Geometry

The geometry is given here by :

### Boundary conditions

We set:

• u_y = 0 on DC

• u_x = 0 on AB

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

## Inputs

We have the following parameters:

Table 1. Inputs
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 92.7\, MPa.

## 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.