WIAS Preprint No. 2673, (2020)

Micro-geometry effects on the nonlinear effective yield strength response of magnetorheological fluids


  • Nika, Grigor
    ORCID: 0000-0002-4403-6908
  • Vernescu, Bogdan
    ORCID: 0000-0001-6153-6392

2010 Mathematics Subject Classification

  • 35J57 35J60 35M12 76T20


  • Magnetorheological fluids, chain structures, surface-to-volume effects




We use the novel constitutive model in [15], derived using the homogenization method, to investigate the effect particle chain microstructures have on the properties of the magnetorheological fluid. The model allows to compute the constitutive coefficients for different geometries. Different geometrical realizations of chains can significantly change the magnetorheological effect of the suspension. Numerical simulations suggest that particle size is also important as the increase of the overall particle surface area can lead to a decrease of the overall magnetorheological effect while keeping the volume fraction constant.

Appeared in

  • Emerging Problems in the Homogenization of Partial Differential Equations, P. Donato, M. Luna-Laynez, eds., vol. 10 of SEMA SIMAI Springer Series, Springer, Cham, 2021, pp. 1--16, DOI 978-3-030-62030-1_1 .

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