Microstructure-based evaluation of the influence of woven architecture on permeability by asymptotic homogenization theory

Analytic characterization of the permeability of dual-scale fibrous porous media

“…Although this issue of dual-scale flow behavior has existed for some time and there have been subsequent models that have addressed this issue [2,6,[27][28][29][30][31][32][33][34], only recently have simulations developed capabilities to account for fiber tow saturation separately, in addition to predicting the movement of the macroscopic flow front [17,35,36]. However, such simulations require one to provide a fiber tow permeability value in addition the bulk permeability value for the preform under consideration.…”

A closed form solution for flow in dual scale fibrous porous media under constant injection pressure conditions

“…To find the bulk permeability, one needs to match the experimentally obtained flow front graph with time by choosing a value for bulk permeability in Eq. (18).…”

“…These early models assume that the fibrous porous media are singlescale. There are also many models that address the multiscale issue [11][12][13][14][15][16][17][18][19], and only recently have simulations developed capabilities to numerically model fiber tow saturation and macroscopic flow front position if one can provide a value for bulk and tow permeability as input to the simulation [10,20,21]. We had formulated an analytical …”

Simulation and tomography analysis of textile composite reinforcement deformation at the mesoscopic scale

“…This mechanical behavior is required in finite element simulations of the preforming stage [6][7][8][9][10][11][12][13]. Besides, knowing the deformed geometry of the woven cell enables to determine the permeability of the fibrous reinforcement via Stokes (or Stokes Brinkman) flow simulations within this deformed cell [14][15][16][17][18]. Finally, the geometry of the deformed reinforcement heavily influences the mechanical behavior of the final composite part.…”