The accuracy of simulating a hyperelastic material depends on the selected material model. Here are a few of the frequently mentioned models and where they work best.

Nearly incompressible

Mooney-Rivlin works with incompressible elastomers with strain up to 200%. Rubber for an automobile tire is an example.

Arruda-Boyce is well suited for rubbers such as silicon and neoprene with strain up to 300%. This model provides good curvefitting even when test data are limited.

Ogden works for any incompressible material with strain up to 700%. This model gives better curve fitting when data from multiple tests are available.

Compressible

Blatz-Ko works specifically for compressible polyurethane foam rubbers.

Hyperfoam can simulate any highly compressible material such as a cushion, sponge, or padding.