Fitting hyperelastic surface on experimental data

Dear Friends,
Hi! I hope you to be so well!
I try to fit best hyperelastic model on my experimental data that has been obtained by LAMMPS but I can’t get any satisfying result.
My experimental data ( uniaxial tension, biaxial tension & shear ) has been verified.
Now, I need to have a valid equation which can introduce & transfer atomistic simulation result to the continuum ( e.g. ABAQUS) for solving questions. (Multiscale model)
could you guide me, please?

with respect