Simulations of Particle Dynamics in Magnetorheological Fluids

Ly, Hung V.; Reitich, Fernando; Jolly, Mark; Banks, H. T.; Ito, Kazufumi

doi:10.1006/jcph.1999.6335

Cited by 70 publications

(55 citation statements)

References 24 publications

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“…The properties discussed above and the ellipse described by Equation (14) along with the five selected positions are depicted in Figure 2.…”

Section: Magnetostatics-general Issuesmentioning

confidence: 99%

“…The forces are subsequently evaluated by the boundary integration of the Maxwell stress on the surfaces of the particles. This approach was adopted by Ly et al [14] in particle dynamics simulations of MR fluids. Kang et al [15] recently presented a direct numerical simulation method based on the Maxwell stress tensor and a fictitious domain method.…”

Section: Introductionmentioning

confidence: 99%

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Three‐dimensional modelling and simulation of magnetorheological fluids

Han

Feng

Owen

2010

Numerical Meth Engineering

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SUMMARYA magnetorheological fluid (MR fluid) is a type of smart fluid composed of micrometer-sized magnetizable particles suspended in a carrier fluid. The rheological properties of an MR fluid can be greatly altered upon application of an external magnetic field. This paper presents a computational framework for the numerical study of MR fluids, in which a two-stage modelling and simulation strategy is proposed to achieve reasonable accuracy and computational efficiency. At the first stage for simulating the particle chain formation, the particle dynamics plays a major role whereas the hydrodynamics of the fluid flow is of secondary importance. Thus an MR fluid is modelled in the context of the discrete element method and the simple Stokes formula is adopted for the hydrodynamic interaction. At the second stage, the formulated particle chains are applied as the initial configuration for simulating the rheological properties of the fluid under different shear loading conditions. A combined lattice Boltzmann and discrete element approach is employed to fully resolve the fluid field and the hydrodynamic interactions between the fluid and the particles. Some relevant magnetic models are comprehensively reviewed and the mutual dipole model is employed in this work to account for the magnetic interactions between the particles. The proposed solution procedure is illustrated via a set of numerical simulations for a representative volume element of an MR fluid.

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“…The properties discussed above and the ellipse described by Equation (14) along with the five selected positions are depicted in Figure 2.…”

Section: Magnetostatics-general Issuesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three‐dimensional modelling and simulation of magnetorheological fluids

Han

Feng

Owen

2010

Numerical Meth Engineering

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“…When spherical object is moving there is applied a resistance force from the liquid medium. For Reynolds number much less than 1 and incompressible fluid a laminar flow can be assumed and Stokes's drag equation is fulfilled [17]:…”

Section: A Translational Motionmentioning

confidence: 99%

Influence of magnetic field-aided filler orientation on structure and transport properties of ferrite filled composites

Goc

Gąska

Klimczyk

et al. 2016

Journal of Magnetism and Magnetic Materials

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“…Numerical methods, and in particular finite element analysis, have been widely used in the study of magneto-sensitive materials in order to understand and predict both their micro-and macroscopic behaviour. The formation of particle chains in magnetorheological fluids, effectively characterising the pre-cured state of an MAP, has been investigated by Ly et al [44] and Simon et al [60]. For the case of solid carriers, Boczkowska et al [5], Chen et al [15] and Vogel et al [68] have studied the movement of magnetic particles in elastomers.…”

Section: Introductionmentioning

confidence: 99%

Modelling of iron-filled magneto-active polymers with a dispersed chain-like microstructure

Saxena

Pelteret

Steinmann

2015

European Journal of Mechanics - A/Solids

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Saxena, P., Pelteret, J.-P. and Steinmann, P. (2015) Modelling of iron-filled magneto-active polymers with a dispersed chain-like microstructure. AbstractMagneto-active polymers are a class of smart materials commonly manufactured by mixing micron-sized iron particles in a rubber-like matrix. When cured in the presence of an externally applied magnetic field, the iron particles arrange themselves into chain-like structures that lend an overall anisotropy to the material. It has been observed through electron micrographs and X-ray tomographs that these chains are not always perfect in structure, and may have dispersion due to the conditions present during manufacturing or some undesirable material properties. We model the response of these materials to coupled magneto-mechanical loading in this paper using a probability based structure tensor that accounts for this imperfect anisotropy. The response of the matrix material is decoupled from the chain phase, though still being connected through kinematic constraints. The latter is based on the definition of a 'chain deformation gradient' and a 'chain magnetic field'. We conclude with numerical examples that demonstrate the effect of chain dispersion on the response of the material to magnetoelastic loading.

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Simulations of Particle Dynamics in Magnetorheological Fluids

Cited by 70 publications

References 24 publications

Three‐dimensional modelling and simulation of magnetorheological fluids

Three‐dimensional modelling and simulation of magnetorheological fluids

Influence of magnetic field-aided filler orientation on structure and transport properties of ferrite filled composites

Modelling of iron-filled magneto-active polymers with a dispersed chain-like microstructure

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