A 3D computational homogenization model for porous material and parameters identification

Based on the assumptions of periodicity and separation of two length scales, a 3D computational homogenization model is developed for porous material. The method is implemented based on the finite element method by assuming linear material behavior. Numerical examples show that the variation of pore geometry and spatial distribution will result in much higher level local stress concentration compared to the macroscale smeared out stress, apart from bringing the material properties in transition to transverse isotropy. The convergence studies and the comparison to the reference/analytical solution show that the linear computational homogenization is an effective method for modelling the linear elastic porous materials.