1. Reference problem

1.1. Geometry

A \(\mathrm{1cm}\) long bar, cut into 4 \(\mathrm{2,5}\mathit{mm}\) elements. It is embedded at one end and is subject to an imposed displacement \(U\) at the other.

Illustration 1: Diagram of the geometry of the member under tension

The area of the cross sections is \(A\mathrm{=}{\mathrm{1m}}^{2}\).

1.2. Material properties

An elastoplastic material with linear isotropic work hardening (VMIS_ISOT_LINE) is considered with the following characteristics:

\(\begin{array}{c}E\mathrm{=}100000\text{MPa}\\ \nu \text{=}\mathrm{0,3}\\ {E}_{T}\text{=}10000\text{MPa}\\ {\sigma }_{Y}\text{=}100\text{MPa}\end{array}\)

1.3. Boundary conditions and loads

Embedded in \(A\) \((\mathrm{DZ}=\mathrm{DY}=\mathrm{DX}=0)\).

To avoid rigid body movements, \(\mathrm{DZ}=\mathrm{DY}=0\) for all knots.

A single load is applied: a traction in motion imposed from \(U=1\text{mm}\) to node \(B\).