Linear magneto-viscoelastic model based on magnetic permeability components for anisotropic magnetorheological elastomers

Abstract

International audienceThe storage modulus variation of anisotropic magnetorheological elastomers (MREs) induced by an external magnetic field was modelled in the frequency domain. This involves synthesising five anisotropic MREs with different particle content and measuring its dynamic and magnetic properties. Dynamic properties were measured using a rheometer equipped with a magnetorheological cell and the magnetic permeability of each sample was measured with a vibrating sample magnetometer. Scanning Electron Microscope images were used to determine particle distribution. A four parameter fractional derivative model was used to describe MRE viscoelasticity in the absence of magnetic field and the fitting error was not larger than 1%. Magneto-induced modulus was also studied and two different models were analysed, the one of Jolly et al. (Smart Mater Struct;5:607 (1999)) and the other one of López-López et al. (J Rheol. 56:1209 (2012)). The first model underestimated the influence of the magnetic field for low particle contents while at high ones it overestimated the magnetic field effect, up to 13%. However, in the second model magnetic permeability values were used, and the error between the model prediction and experimental data did not exceed 7%. Hence, a new linear magneto-viscoelastic model was proposed in frequency domain for anisotropic MREs based on López-López et al. model, which predicts the effect of magnetic field on the dynamic shear modulus in function of particle content and frequency

Magnetorheological Elastomers: Materials and Applications

“…In addition, as a basic issue, the study of the interaction between two magnetic particles still keeps developing [80][81][82]. Moreover, besides the microstructure-based analytical model of MREs, the phenomenological continuous medium-based models were also studied [83][84][85][86][87][88][89][90][91][92][93]. These works focus on theoretically and/or experimentally studying the magneto-viscoelastic models for MREs.…”

“…There are many works that focused on the study of MRE-based vibration isolators, for example, Refs. [16,91,92,[114][115][116][117][118]. Figure 16 shows an example of the designed layout and prototype of MRE-based isolator working in squeeze/ elongation-shear mode.…”

Experimental characterization of microcomposite magnetorheological elastomer

“…In a magnetic field, the gain in the rigidity of the composite material is attributed to the magnetomechanical coupling, which is in turn a source of anisotropy. Agirre-Olabide et al [12] have developed a new magneto-viscoelastic model for anisotropic magnetorheological elastomers (MREs), which combines the dynamic behavior and magnetic permeability components. Five samples were synthesised with different particle contents.…”

Systematic Review on the Effects, Roles and Methods of Magnetic Particle Coatings in Magnetorheological Materials

“…Meanwhile, magnetorheological elastomer (MRE) is the solid analogue of MRF, where the fluid is replaced by a non-magnetic elastomer matrix as its carrier medium. By using an elastomeric polymer, such as silicone rubber [ 28 , 29 , 30 , 31 , 32 ], natural rubber [ 33 , 34 , 35 ] and polyurethane [ 5 , 36 , 37 ] as its medium, the sedimentation issue in MRF is completely tackled because the magnetic particles are locked within the matrices. It also offers an alternative to the flowy MRF; MRE does not need any vessel to contain it because it is already in a solid form, and therefore there are no leakage or sealing problems in MRE.…”