Determination of added fluid area in the homogenization model of beam bundles

A unique scalar parameter arises in the 3-D homogenization model for the beam bundle, which has the significance of the added fluid area fraction. The parameter is determined by solving a local problem defined on a unit cell, and its relation to the porosity of the bundle is investigated in this paper. This is made possible by obtaining an analytical solution of the local problem based on Weierstrass s doubly periodicfunc tions