Paper number 1092
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HOMOGENIZATION METHOD TO PREDICT THREE-DIMENSIONAL PERMEABILITIES CONSIDERING MICRO-MACRO AND SOLID-FLUID INTERACTIONS |
Naoki Takano1, Masaru Zako1, Tomomi Yoshioka2, and Kenjiro Terada3
1Department of Manufacturing Science, Osaka University,
2-1, Yamada-oka, Suita, Osaka 565-0871, Japan
2Graduate Student, Department of Manufacturing Science, Osaka University,
2-1, Yamada-oka, Suita, Osaka 565-0871, Japan
3Department of Civil Engineering, Tohoku University,
Aoba-yama, Sendai, Miyagi 980-8579, Japan
| Summary | Formulation of the homogenization for solid-fluid mixture is presented. The possibility of applying this newly developed homogenization method to the liquid molding analysis has been investigated. Firstly, the three-dimensional anisotropic permeabilities were calculated for arbitrary microstructures. Especially for the uni-directional fiber arrangement, the computational results and conventional theoretical results were compared. For both square arrangement and hexagonal one, the computational results agreed very well with the theoretical prediction. Then the developed homogenization method was applied to the prediction of the permeability of knitted fabric composite material. Three-dimensionally anisotropic permeabilities were obtained. Secondly, macroscopic behaviors of both solid deformation and flow velocity (averaged Darcy's velocity) have been simulated. |
Keywords | microstructure, FRP, moulding, permeability, homogenization method. |