Abstract
The solid-fluid mixture homogenization method enables us to simulate micro-macro coupled behaviors of incompressible permeation flows in elastic porous media. However, it needs a complex interface-fitted finite element mesh for micro scale computations of the solid-fluid two-phase unit cell. An extended finite element (X-FE) discretization technique based on the level set method and enriched interpolation is proposed for an alternative approach to the geometrical problem that can handle the solid-fluid two-phase unit cell with a simple non-interface-fitted mesh. Its homogenization and localization performances are demonstrated in a typical two-dimensional bench mark problem with a hole, and its three-dimensional application to the body-centered cubic unit cell is shown in this paper. The 3D application is prepared forward the computer-aided design of fluid permeation filters fabricated by partial sintering of the powder ceramics.
