INCORPORATION OF THE PORE SIZE VARIATION TO MODELING OF THE ELASTIC BEHAVIOR OF METALLIC OPEN-CELL FOAMS

In the present paper we present the approach for modeling of the elastic behavior of open-cell metallic foams concerning non-uniform pore size distribution. This approach combines design of foam structures and numerical simulations of compression tests using finite element method (FEM). In the design stage, Laguerre-Voronoi tessellations (LVT) were performed on several sets of packed spheres with defined variation of radii, bringing about a set of foam structures with porosity ranging from 74 to 98% and different pore size variation quantified by the coefficient of pore volume variation, CV(V), from 0.5 to 2.1. Each structure was numerically subjected to uni-axial compression test along three directions within the elastic region. Basing on the numerical response, the effective Young's modulus, E-eff, was calculated for each structure. It is shown that the Eeff is not only dependent on the porosity but also on the pore size variation.