Experimental and numerical analysis on magneto-hyper-viscoelastic constitutive responses of magnetorheological elastomers: A characterization procedure

In this paper, magneto-hyper-viscoelastic responses of isotropic magnetorheological elastomers (MREs) subjected to uniaxial compression loadings and induced by magnetic fields are experimentally and numerically studied. Unlike many investigations on the rheological models (representing a simplified one-dimensional response of MRE), in order to prepare the input material data for three-dimensional stress and fatigue analysis of the structures enhanced by MRE, a procedure is proposed to characterize and determine material constants for a magneto-hyper-viscoelastic constitutive model. Utilizing some uniaxial compression tests in the presence and absence of the magnetic field as well as the procedure, hyper-elastic, magneto-elastic, and viscoelastic constants are determined. In order to show the predictive capabilities of the procedure, the numerical predictions of hysteresis responses of the MRE are compared with the experimental analysis. The acceptable agreements between the predictions, for which the extracted coefficients are used, and the observations indicates towards the accuracy of the proposed procedure.