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For spherical cells, the maximum packing fraction, ρmax, might be set to approximately 0.74 the close-packing fraction of uniform spheres.
The intrinsic viscosity and maximum packing fraction (ϕm) values were determined with the Krieger Dougherty model.
The model is based on two major parameters, namely shear stress -dependent viscosity, ηr, and shear stress τ-dependent maximum packing fraction, φm, of the suspensions.
Our results revealed that thermo-viscoelasticity was affected by the maximum packing fraction below the glass transition temperature Tg, and the mobility of matrix resin at T > Tg.
The maximum packing fraction has been calculated with the Krieger Dougherty model and the fractal dimension from the yield stress values determined from flow curves.
Subsequently, a method based on the estimation of the porosity of a bed of randomly placed spherical particles was adapted to allow us to define the maximum packing fraction for any bimodal system.
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The remaining two models include an additional parameter, that is, the maximum packing volume fraction of particles.
Two transition points, the dendrite coherency point and the maximum packing solid fraction, divide the mushy zone into three regions of different mechanical and feeding behaviours.
Selected theoretical relations with the maximum volume packing fraction and the matrix-filler interaction as important parameters, agreed well with the experimental results.
Additionally, the effective maximum volume packing fraction of OC for the exfoliated nanocomposites is determined from the overlapping of dynamic viscosity at low frequency regime, in which the effective maximum volume packing fraction is larger than the percolation threshold determined from the storage modulus of the nanocomposites.
The proposed micro-structural model predicts the variation of the wall friction coefficient with normal load as a function of the particle contact density and the load distribution between the coarse and fine particles at the maximum possible packing fraction.
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