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Effect of single-particle magnetostriction on the shear modulus of compliant magnetoactive elastomers

Viktor M. Kalita1,2, Andrei A. Snarskii1,3, Mikhail Shamonin4,*, and Denis Zorinets1

  • 1National Technical University of Ukraine “Kyiv Polytechnic Institute,” Prospekt Peremohy 37, 03056 Kiev, Ukraine
  • 2Institute of Physics NAS of Ukraine, Prospekt Nauky 46, 03028 Kiev, Ukraine
  • 3Institute for Information Recording NAS of Ukraine, Shpaka Street 2, 03113 Kiev, Ukraine
  • 4East Bavarian Centre for Intelligent Materials (EBACIM), Ostbayerische Technische Hochschule Regensburg, Prüfeninger Strasse 58, 93049 Regensburg, Germany

  • *mikhail.chamonine@oth-regensburg.de
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Phys. Rev. E 95, 032503 – Published 30 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032503

Abstract

The influence of an external magnetic field on the static shear strain and the effective shear modulus of a magnetoactive elastomer (MAE) is studied theoretically in the framework of a recently introduced approach to the single-particle magnetostriction mechanism [V. M. Kalita et al., Phys. Rev. E 93, 062503 (2016)]. The planar problem of magnetostriction in an MAE with magnetically soft inclusions in the form of a thin disk (platelet) having the magnetic anisotropy in the plane of this disk is solved analytically. An external magnetic field acts with torques on magnetic filler particles, creates mechanical stresses in the vicinity of inclusions, induces shear strain, and increases the effective shear modulus of these composite materials. It is shown that the largest effect of the magnetic field on the effective shear modulus should be expected in MAEs with soft elastomer matrices, where the shear modulus of the matrix is less than the magnetic anisotropy constant of inclusions. It is derived that the effective shear modulus is nonlinearly dependent on the external magnetic field and approaches the saturation value in magnetic fields exceeding the field of particle anisotropy. It is shown that model calculations of the effective shear modulus correspond to a phenomenological definition of effective elastic moduli and magnetoelastic coupling constants. The obtained theoretical results compare well with known experimental data. Determination of effective elastic coefficients in MAEs and their dependence on magnetic field is discussed. The concentration dependence of the effective shear modulus at higher filler concentrations has been estimated using the method of Padé approximants, which predicts that both the absolute and relative changes of the magnetic-field-dependent effective shear modulus will significantly increase with the growing concentration of filler particles.

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Phys. Rev. E 95, 032503– Published 30 March, 2017
  • Received 24 November 2016
  • Revised 23 January 2017

©2017 American Physical Society

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