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A rheological model is described that was developed to simulate the dynamic behavior of magnetorheological elastomers (MREs). The viscoelasticity of the polymer composite, magnetic field-induced properties and interfacial slippage between the matrix and particles were modeled by analogy with a standard linear solid model, a stiffness variable spring, and a spring-Coulomb friction slider, respectively. The loading history and rate dependent constitutive relationships for MREs were derived from the rheological model. The hysteresis loop from shear strain-shear stress plots, which determines the shear modulus and loss factor, were obtained from substituting cyclic loading into these constitutive relationships. The dynamic behavior of MREs was simulated by changing parameters in the rheological model to influence MREs’ performance. The simulation results verified the effectiveness of the model.