I would like to use pygad to calculate material parameters in static analysis, I would like to get something like this article:
https://www.mdpi.com/1996-1944/16/5/1821

Contrary to the article mentioned above, I would like to use CalculiX as a FEA program: http://calculix.de

Please let me know if I can do something like that and help me how to do it (I'm just starting my adventure with pygad)?

At the moment, I can perform single calculations (CalculiX), then use similaritymeasures (https://github.com/cjekel/similarity_measures) to compare the data (the curve from the experiment vs the curve from the FEA program) and save the pcm indicator to a file.

Imaginary work cycle (general):

CalculiX (with startup parameters in input file) -> save data -> similaritymeasures (comparison of curves) -> save pcm -> pygad -> save new parameters -> replacing parameters in the input file for calculix

and so on in the loop until a given criterion is reached (amount and/or pcm values).

Python scripts usable with CalculiX:
dat2txt.py (save data to curve strain-stress): https://github.com/calculix/CalculiX-Examples/blob/master/Scripts/dat2txt.py
param.py (replace parameters in CalculiX input file): https://github.com/calculix/CalculiX-Examples/blob/master/Scripts/param.py

If pygad allows to save parameters to a .txt file in this form:
200.e+3, 0.3, A, B, C, D

where the first 2 values are constant and A, B, C, D are variable coefficients then we can omit the script to replace them in the input file (param.py)