thanks for your answer. First I tried a simple model, a tensile bar. No matter how many cycles I use the total displacement and (cumulative) plastic strain keep the same after the first cycle. What is the mistake?

I used static structural, isotropic hardening and large deformations switched off (similar result with large deformations switched on).

Attatched you can find some screenshots for the result after 10 cycles.

The load is as in the following screenshot:

The total displacement after 10 cycles:

The cumulative plastic strain (nlepeq) (same result like plastic strain):