Effective Constant of Porous Materials Using Micro-Meso Damage Modeling

Document Type : Original Research Paper


1 Faculty of Mechanical Engineering, Sahand University of Technology, Sahand New town , Tabriz, Iran.

2 Satellite Research Institute, Iranian Space Research Center, Tehran, Iran

3 Department of Civil Engineering, University of Baghdad, Iraq



Take in to account of metal foams properties like energy absorption; they have several implementations. The complication of foam structures leads difficulties in investigation of elastic and plastic modulus. In the present research, porosity of foam are modeled and analyzed, numerically. In this context, MATLAB and JavaScript have been developed for geometrical modeling of porous materials considering density, radius, and random distribution of porous. Several porous configurations are simulated using periodic boundary conditions on Micro/Meso Scale in order to numerically calculate their elastic mechanical properties like Young’s modulus and shear modulus as a function of the porous configuration. The porous are distributed randomly and the effect of configuration parameters (like shape, number, size) are investigated on elastic modulus. In order to simulate more accurately, porous characteristics were investigated using SEM experimental tests. Eventually, the calculated effective constants of porous materials are compared with numerical and experimental literatures. This comparison demonstrates that the proposed method can accurately model high range of porosity (from 5% to 65%) and estimate the effective constant of porous materials in 3 directions including of (E1, E2, E3, G12, G13, G23).