1. Reference problem#

1.1. Geometry#

_images/1000E53C000069D50000E8A68F63AB50D36EDA9B.svg

Figure1: Reference problem

The specimen is axi-symmetric, and only half of the specimen is modelled by elements. The dimensions are given here in millimeters.

1.2. Material data#

The material in question is elastoplastic with linear isotropic work-hardening of the von Misès type (VMIS_ISOT_LINE).

The material data used is as follows:

Young’s module:

\(200000\mathrm{MPa}\)

Poisson’s Ratio

\(\mathrm{0,3}\)

Elastic limit

\(200\mathrm{MPa}\)

Linear work hardening module

\(20000\mathrm{MPa}\)

1.3. Boundary conditions and loads#

Because of the symmetry, vertical movements are blocked on line \(\mathrm{P0}-\mathrm{P1}\) and horizontal movements are blocked on the \(\mathrm{P0}-\mathrm{P9}\) axis; the load consists of a vertical displacement imposed on the side \(\mathrm{P8}-\mathrm{P9}\):

axis \(\mathrm{P0}-\mathrm{P9}\)

\(\mathrm{DX}=0\)

axis \(\mathrm{P0}-\mathrm{P1}\)

\(\mathrm{DY}=0\)

axis \(\mathrm{P8}-\mathrm{P9}\)

\(\mathrm{DY}=6\mathrm{mm}\)

Charging is imposed in 50 increments of \(0.12\mathrm{mm}\).