In this study, the influence of porosity on the elastic effective properties of polycrystalline
materials is investigated using a formulation built on a boundary integral representation of the elastic
problem for the grains, which are modeled as 3D linearly elastic orthotropic domains with arbitrary spatial
orientation. The artificial polycrystalline morphology is represented using 3D Voronoi tessellations. The
formulation is expressed in terms of intergranular fields, namely displacements and tractions that play an
important role in polycrystalline micromechanics. The continuity of the aggregate is enforced through
suitable intergranular conditions. The effective material properties are obtained through material
homogenization, computing the volume averages of micro-strains and stresses and taking the ensemble
average over a certain number of microstructural samples. In the proposed formulation, the volume fraction
of pores, their size and distribution can be varied to better simulate the response of real porous materials. The
obtained results show the capability of the model to assess the macroscopic effects of porosity