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Interaction and Multiscale Mechanics
  Volume 2, Number 1, March 2009, pages 45-68
open access

Extended-FEM for the solid-fluid mixture two-scale problems with BCC and FCC microstructures
Tomohiro Sawada, Shogo Nakasumi, Akira Tezuka, Manabu Fukushima and Yu-ichi Yoshizawa

    An aim of the study is to develop an efficient numerical simulation technique that can handle the two-scale analysis of fluid permeation filters fabricated by the partial sintering technique of small spherical ceramics. A solid-fluid mixture homogenization method is introduced to predict the mechanical characters such as rigidity and permeability of the porous ceramic filters from the micro-scale geometry and configuration of partially-sintered particles. An extended finite element (X-FE) discretization technique based on the enriched interpolations of respective characteristic functions at fluid-solid interfaces is proposed for the non-interface-fitted mesh solution of the micro-scale analysis that needs non-slip condition at the interface between solid and fluid phases of the unit cell. The homogenization and localization performances of the proposed method are shown in a typical two-dimensional benchmark problem whose model has a hole in center. Three-dimensional applications to the body-centered cubic (BCC) and face-centered cubic (FCC) unit cell models are also shown in the paper. The 3D application is prepared toward the computer-aided optimal design of ceramic filters. The accuracy and stability of the XFEM based method are comparable to those of the standard interface-fitted FEM, and are superior to those of the voxel type FEM that is often used in such complex micro geometry cases.
Key Words
    solid-fluid mixtures; porous media; permeation flow; incompressibility; homogenization method; extended finite element method (X-FEM); level set method; fluid-solid interface; ceramic filters; partial sintering.
Tomohiro Sawada, Shogo Nakasumi and Akira Tezuka; Process-oriented Computational Applied Mechanics Group, AMRI, National Institute of Advanced Industrial Science and Technology (AIST), 1-2-1 Namiki, Tsukuba, Ibaraki, 305-8564, Japan
Manabu Fukushima and Yu-ichi Yoshizawa; High-performance Component Processing Group, AMRI, National Institute of Advanced Industrial Science and Technology (AIST), 2266-98 Anagahora, Shimo-Shidami, Nagoya, Aichi, 463-8560, Japan

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