Improved Mathematical Model for Analysis of the Payne Effect of Magnetorheological Elastomers

Abstract

Recently, magnetorheological elastomer–based vibration control devices have attracted increasing attention due to their field dependence of stiffness characteristics. It is crucial to develop a comprehensive model for precisely predicting mechanical behaviors of magnetorheological elastomers (MREs). In this work, silicon rubber–based MRE samples were prepared and investigated through dynamic and quasistatic stretch tests. Experimental results suggest that the samples possess an obvious magnetorheological effect, as well as frequency- and amplitude-dependent mechanical behavior. In order to depict these properties in a unified scheme, an extended fractional-order derivative model was developed to consider the Payne effect using the framework of the Kraus model. A comparison with experimental data indicates that this new model is accurate in predicting the mechanical behavior of MREs.