Material modeling of frequency, magnetic field and strain dependent response of magnetorheological elastomer

Abstract Accurate modeling of material behavior is very critical for the success magnetorheological elastomer-based semi-active control device. The property elastomer sensitive to frequency, magnetic field and input strain. Additionally, these properties are unique a particular combination matrix filler loading. An experimental-based characterization approach costly time consuming as it demands large amount experimental data. This process can be simplified by adopting approach. an extension conventional viscoelastic constitutive relations coupled with hysteresis attributes. In present study, mathematical relation represent strain dependent presented. represented fractional zener element attributes incorporated in model spring linearized Bouc-–Wen element, respectively. proposed comprised total eight parameters, which identified minimizing least square error between predicted response. variations each parameter respect operating conditions generalized expression. parameters estimated from expression used assess ability describing dynamic response elastomer. effectively stiffness characteristics accuracy, more than 94.3% corresponding accuracy predicting damping above 90.1%. capable fitting value fitness 93.22%.