Hypereslastic and viscoelastic fitting high strain rate compression data

I collected high strain rate (up to 2400 strain/s) compression data of an elastomer. Ive seen poor behavior of neo Hookean models in the compressive regime (ie asymptotically increasing stiffness). How well do the three network or parallel network models capture compression behavior that is similar in morphology to that of typical tensile data? Please let me know if I can clarify further.

In my experience, you can accurately capture both the slow and very high rate response of virtually all elastomers if you use a suitable material model. I often use the simple Bergstrom-Boyce (BB) model, but the Three Network (TN) model and the Parallel Network (PN) models also work well.

-Jorgen