Fractional Maxwell viscoelastic model to explain dynamic magneto-viscoelastic properties of an isotropic magnetorheological elastomer containing flake-shaped magnetic particles

ABSTRACT

A modified fractional Maxwell viscoelastic model was developed for the dynamic magneto-viscoelastic behavior of an isotropic magnetorheological elastomer (MRE) having flake-shaped iron particles. This model can capture the low-frequency and high magnetic field static friction contribution with frequency, both in storage and loss modulus. The magnetic dipole-dipole interaction model is used to find the influence of the external magnetic field on viscoelastic behavior. The variation of field-induced modulus with the magnetic field is well described using the Langevin function. The predicted and experimental measured storage and loss modulus agree with the present model with an accuracy of ≥99%. The present model is compared with the results of spherical particle-based MRE.

KEYWORDS:

• Isotropic magnetorheological elastomers
• fractional derivative model
• magnetic field
• flake-shaped iron particles
• dipole-dipole interaction
• magneto-viscoelastic

Disclosure Statement

No potential conflict of interest was reported by the author(s).

Data Availability Statement

Data are available on request.

CRediT Authorship Contribution Statement

Dipal Patel: Synthesis of MRE, experimental data collection, investigation, project administration, writing review and editing. Ramesh Upadhyay: Conceptualization, data curation, writing-original draft, supervision.

Additional information

Funding

The work is supported by Charotar University of Science and Technology (CHARUSAT) for providing all experimental facilities.