Effective magnetic susceptibility in magnetoactive composites

Effect of microstructure evolution on the mechanical behavior of magneto-active elastomers with different matrix stiffness

“…Based on the mean field approximation, the aforementioned model allows us to estimate the microstructure factor. For columnar-like particle arrangements it takes the simple analytical form: 46 whereThe parameter f micro represents the scalar component of G micro in the direction of the columns. It is worth noting that eqn (9) accurately predicts a microstructure factor of zero, when ϕ p = ϕ (resp.…”

“…This method reduces the computational cost significantly by assuming dipolar interactions between particles, and has been shown to provide very good accuracy in comparison to full-field approaches. 45 Recently, Romeis and Saphiannikova 46 proposed a model for the effective magnetization behavior of MAEs, utilizing analytical homogenization based on dipole approximation. Chougale et al 47 implemented the mean field theory in an invariant based approach to create a constitutive model for anisotropic MAEs.…”