3. C modeling

3.1. Characteristics of modeling

Same as modeling A, with nevertheless on the HAUT mesh, \(-\sigma_{zz}\) increases from 0 to 10 MPa at time \(t=1\) before decreasing to 10 kPa at time \(t=2\) in 100 steps of time (uniformly distributed).

3.2. Tested sizes and results

The solutions are calculated at point NO8 at time \(t=1\). They are given in terms of total deformation \(\epsilon_{zz}\) and volume plastic deformation \(\epsilon_v^p\). They are compared to solutions resulting from an mtest calculation at the hardware point. These are summarised by the two tables below.

The correspondence is satisfactory. The following figure shows the evolution of the total deformation \(\epsilon_{zz}\) with the stress \(\sigma_{zz}\) applied. Positive work hardening is observed, in case of plastic flow (when \(Ip=1\)), as well as elastic nonlinearity (when \(Ip=0\)).

Fig. 3.1 Response of the total deformation \(\epsilon_{zz}\) with the stress \(\sigma_{zz}\) applied. The plastic indicator \(Ip\) is equal to 1 in case of plastic loading, and is equal to 0 otherwise.