Hi Maciej,
In the laboratoy tests, was the sample free to expand during the load application? If so, by using “Fixed Support” at the bottom, the sample is likely over-constrained which may explain the discrepancy you’re seeing in the simulation results.
As another suggestion to simplify the model, try exploiting symmetry of the specimen. For example, your case can be simulated using axisymmetric assumption. If you’d like to model it in 3D, try cutting the specimen and using symmetry regions (screenshot below).
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