Low-frequency rheology of magnetically controlled elastomers with isotropic structure

The method of torsion oscillations is used to measure the dynamic modulus of elasticity of magnetically controlled elastomers that comprise silicone rubber and carbonyl iron in the low-frequency (up to 100 Hz) range. The samples are synthesized in the absence of a magnetic field; therefore, they have an isotropic structure. In the measurements, a constant magnetic field (up to 24 kA/m) is superimposed along the axis of forced torsion oscillations of the sample. A simple model of the rheological behavior of magnetically controlled elastomers is proposed; the problem of torsion oscillations of a cylindrical sample is solved. From the comparison with the experiment for the materials under study, we determine the coefficients of the theoretical model and the corrections to them, which are made because of variations in the rheology of magnetically controlled elastomers under the influence of a magnetic field. The derived relations make it possible to exclude artifacts and to adequately describe dependences of the storage and loss moduli on the frequency of mechanical loading and the strength of the applied magnetic field.