Elastic-porous　metal　rubber,　commonly　employed　in　dynamic　environments,　has　received　special　attention　nowadays.　Utilization　of　equivalent　metal　rubber　models　in　the　finite　element　analysis　becomes　imperative　because　of　the　complexity　of　the　spatial　network　structure　and　the　extensive　numerical　calculations　involved　in　it.　In　this　work,　the　nonlinear　characteristics　of　metal　rubber　are　represented　by　hyperelastic　constitutive　models,　and　the　Mullins　effect　is　discussed.　The　relative　deviations　of　the　displacement-load　curve　among　the　test　results　and　three　dynamic　models　are　analyzed:　the　hysteretic　Bergström–Boyce　model,　the　viscoelastic　generalized　Maxwell　model,　and　the　nonlinear　spring-viscous　damping　element　model.　The　results　indicate　that　the　damage　value　of　the　Mullins　effect　is　positively　correlated　with　the　magnitude　of　the　strain　during　unloading,　and　the　performance　degradation　of　metal　rubber　is　weakened　after　multiple　cycles.　The　time　domain　characteristics　of　the　generalized　Maxwell　model　demonstrate　that　the　dynamic　analysis　of　metal　rubber　at　different　frequencies　have　obvious　deviations.　The　rate　correlation　of　metal　rubber　affects　the　dynamic　stiffness　under　different　amplitudes　This　is　reason　that　the　nonlinear　spring-viscous　damping　element　model　is　deviated.　Regardless　of　the　frequency　or　amplitude,　the　Bergström–Boyce　model　has　been　found　to　exhibit　a　lower　relative　deviation　and　match　well　with　the　dynamic　experiment.　©　2024　Wiley-VCH　GmbH.