Dynamic constitutive modelling and mullins effect of elastic‐porous metal rubber

Abstract 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.