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Theoretical method for calculation of effective properties of composite materials with reconfigurable microstructure: Electric and magnetic phenomena

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  • Snarskii, Andrei A.
  • Zorinets, Denis
  • Shamonin, Mikhail
  • Kalita, Viktor M.

Abstract

We propose a theoretical approach for calculating effective electric and magnetic properties of composites, with field dependent restructuring of the filler. The theory combines the effective medium approximation, extended to a field-dependent (variable) percolation threshold, with an approximate treatment of the nonlinearity of material properties. Theoretical results are compared with experiments on magnetorheological elastomers, which in the context of investigated phenomena are often called magnetoactive elastomers (MAEs). In MAEs with soft polymer matrices, the mutual arrangement of inclusions changes in an applied magnetic field. This reorganization of the microstructure leads to unconventionally large changes of electrical and magnetic properties. The obtained theoretical results describe observed phenomena in MAEs well. For the magnetodielectric effect, qualitative agreement between theory and experiment is demonstrated. In the case of magnetic permeability, quantitative agreement is achieved. The theoretical approach presented can be useful for the development of field-controlled smart materials and design of intelligent structures on their basis, because the field dependence of physical properties can be predicted.

Suggested Citation

  • Snarskii, Andrei A. & Zorinets, Denis & Shamonin, Mikhail & Kalita, Viktor M., 2019. "Theoretical method for calculation of effective properties of composite materials with reconfigurable microstructure: Electric and magnetic phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
  • Handle: RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119314177
    DOI: 10.1016/j.physa.2019.122467
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    References listed on IDEAS

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    1. Hui, P.M. & Cheung, P. & Kwong, Y.R., 1997. "Effective response in nonlinear random composites," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(1), pages 301-309.
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    Cited by:

    1. Snarskii, Andrei A. & Shamonin, Mikhail & Yuskevich, Pavel & Saveliev, Dmitry V. & Belyaeva, Inna A., 2020. "Induced anisotropy in composite materials with reconfigurable microstructure: Effective medium model with movable percolation threshold," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    2. Parviz, Hadi & Fakoor, Mahdi, 2020. "Free vibration of a composite plate with spatially varying Gaussian properties under uncertain thermal field using assumed mode method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    3. Solovyova, Anna Yu. & Kuznetsov, Andrey A. & Elfimova, Ekaterina A., 2020. "Interparticle correlations in the simple cubic lattice of ferroparticles: Theory and computer simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).

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