I don't have experience with hyper-elastic materials, but this may be a good starting point.

http://130.149.89.49:2080/v6.9/books/stm/default.htm?startat=ch04s05ath122.html

Go to:

Fitting of hyperelastic and hyperfoam constants

It may help:

https://www.researchgate.net/post/Abaqus_Hyperfoam_material_model

Dear Thank you for your Help. We want to model PP matrix with PP fibers by using Anisotropic Hyper elastic materials model. But I am not able to understand the Terms, C10, D, K1, K2, and Kappa,,,

http://wufengyun.com:888/v6.14/books/key/default.htm?startat=ch01abk10.html#usb-kws-manisohyperelast