Comparison of foam models from regular and irregular arrays of Gibson-Ashby open-cells

The paper studies effective elastic properties of foam or cellular materials modeled by a set Gibson-Ashby open cells with regular irregular structures. Currently, there are many papers that present results studying using theoretical, numerical and experimental methods. However, these consider either lattices, single cell, representative volume models based not on the models. In this paper, in addition to lattice, structures were numerically studied. A mathematical formulation homogenization problem energy equivalence foam-like material homogeneous comparison medium is described. Formulations six boundary value problems presented. solutions allow us determine complete stiffness modules for foams different types physical geometric anisotropies. All stages study implemented ANSYS finite element package. Two algorithms forming solid-state finite-element lattices small large porosity described detail. As an example, calculations carried out polycarbonate foams. values analytical model compared. experiments showed describes behavior highly porous quite well (for more than 75%), but gives less satisfactory prediction case lower porosity. It noted number cells, statistically give similar modules. individual especially strongly differing directions, moduli can have significantly values, pronounced anisotropic properties. These effects due anisotropy stress concentration long connecting beams at joints various sizes lattices. Examples such given. We analyze scatter relative modules, which characterizes