# 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:

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 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.