Abstract

The description of the collective magnetorheological effect induced by magnetic field in magnetoactive elastomers is proposed. The condition of consistency is used between magnetic and mechanic momenta of forces exerted on magnetically uniaxial ferromagnetic particles in elastomer at their magnetization. The study shows that even in the case of small concentration of particles, the value of magnetically-induced shear can be anomalously large, reaching up to tens of percent. The deformation of magnetoactive elastomer can evolve critically, as a second-order phase transition, if magnetic field is aligned along the easy axis of particles.

Highlights

  • Elastomers are a synthetic nonmagnetic materials that can and reversibly change their form or size under the external influence — thermal, mechanical or field

  • The obtained results correctly describe, at a qualitative level, the field dependencies of the shear and the effective modulus of shear, which are proportional to the magnetic field strength squared in the lower magnetic fields range, H → 0, and come to saturation in higher fields

  • If the magnetic field is aligned along the anisotropy axis, it leads to an increase of the magnetoactive elastomer (MAE) effective modulus of shear, in particular

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Summary

Introduction

Elastomers are a synthetic nonmagnetic (composite, high-molecular) materials that can and reversibly change their form or size under the external influence — thermal, mechanical or field. The purpose of our paper is to examine MAE in the low range of concentration of particles In this case, one can assume that the rotation of particles has a linear input in MRE, while all other mechanisms MAE with small concentration of particles can be used as objects to experimentally prove and, to measure how field-induced rotation of ferromagnetic particles can influence the value of MAE shear modulus, and in this way to describe MRE quantitively. For MAE with low concentration of magnetically anisotropic particles, the MRE is mainly influenced by the rotation of particles induced by the magnetic field. This paper is executed and dedicated to the 60-year jubilee of the well-known Ukrainian theoretical physicist, professor Ihor Mryglod — specialist in physics of phase transitions and soft matter theory, to which the most elastomer compounds can be related

Free energy and equation of state
Magnetic field influence on shear absolute value
Critical behaviour
Conclusions
Full Text
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