AMMAR, Amine; ABISSET, Emmanuelle; CHINESTA, Francisco; KEUNINGS, Roland

doi:10.1007/s12289-016-1300-0

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AMMAR, Amine
Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]

ABISSET, Emmanuelle

Institut de Recherche en Génie Civil et Mécanique [GeM]

CHINESTA, Francisco
Institut de Recherche en Génie Civil et Mécanique [GeM]

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International Journal of Material Forming. 2016p. 1-10

Springer Verlag

Résumé en anglais

Permeability is the fundamental macroscopic material property needed to quantify the flow in a fibrous medium viewed as a porous medium. Composite processing models require the permeability as input data to predict flow patterns and pressure fields. In a previous work, the expressions of macroscopic permeability were derived in a double-scale porosity medium for both Newtonian and generalized Newtonian (shear-thinning) resins. In the linear case, only a microscopic calculation on a representative volume is required, implying as many microscopic calculations as there are representative microscopic volumes in the whole fibrous structure. In the non-linear case, and even when the porous microstructure can be described by a unique representative volume, a large number of microscopic calculations must be carried out as the microscale resin viscosity depends on the macroscopic velocity, which in turn depends on the permeability that results from a microscopic calculation. An original and efficient offline-online procedure was proposed for the solution of non-linear flow problems related to generalized Newtonian fluids in porous media. In this paper, this procedure is generalized to quasi-Newtonian fluids in order to evaluate the effect of extensional viscosity on the resulting upscaled permeability. This work constitutes a natural step forward in the definition of equivalent saturated permeabilities for linear and non-linear fluids.< Réduire

Mots clés en anglais

Permeability

Computational homogenization

Quasi-Newtonian fluids

Generalized Newtonian fluids

Extensional viscosity

Composite materials

Model order reduction

Proper generalized decomposition

Parametric solutions

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Flow modelling of quasi-Newtonian fluids in two-scale fibrous fabrics: Advanced simulations

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