Numerical analysis of anisotropic elasto-plastic deformation of porous materials with arbitrarily shaped pores

The objective of this work is to numerically investigate the anisotropic compressive behavior of porous materials with randomly distributed, arbitrarily shaped pores in various directions. The relative pore volume fraction, the anisotropic aspect ratio and the pore arrangement are taken into account. The direction and anisotropic aspect ratio dependences of Young's modulus and the initial yield stress are examined. Our results indicate that the anisotropic aspect ratio has a significant effect on the elasto-plastic behaviors of porous materials. Independent of pores distribution, Young's modulus and the yield stress are found to be symmetric with the transverse direction. However, with increasing the aspect ratio Young's modulus and the initial yield stress are greatly enlarged in the longitudinal direction of pores than those of other directions while the minimum variations are observed in transverse direction. Moreover, equations for arbitrary porous materials are developed by relating Young's modulus and the initial yield stress in various directions to those in the transverse direction, which provides a simple and effective method for predicting the deformation of porous materials in arbitrary directions based on that in the transverse direction.