On Effective Mechanical Properties of Two-Dimensional Porous Materials

Two-dimensional (2D) representative volume element (RVE) has been widely used to simulate the effective behaviors of the materials with aligned pores. In this paper, the anisotropy indexes are defined for the 2D RVE model to quantitatively evaluate the extent of anisotropy of the model. A normalized procedure is then proposed to compute the effective moduli of the RVE models, which can further minimize the influence of anisotropy of the RVE models. The effective Poisson's ratio of the porous materials is challengeable to be estimated well, and few analytical models can give good predictions. The theoretical models are proposed to approach the effective Young's modulus and the effective Poisson's ratio of the 2D porous materials covering the full range of porosity. It is numerically validated that the theoretical models give accurate predictions for the effective Young's modulus and Poisson's ratio of the 2D porous materials.