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Cellular materials have been increasingly used in modern engineering applications over the past decade due to their unique mechanical and thermal properties which depend on their cellular structure [1].The presentation focuses on geometrical and mechanical characterization and modelling of three very different cellular materials(Fig.1): Advanced Pore Morphology(APM)foam [2,3],open-cell aluminum foam [4,5] and Metallic Hollow Sphere Structure(MHSS)[6].The geometrical characterization is based on proper recognition of their internal cellular structure reconstructed from micro-computed tomography scans,taking into account the statistical distribution of geometrical parameters(topology and morphology).The conducted geometrical analysis provided means for methodology development for representative 2D and 3D geometrical modelling of irregular cellular structures and consequent formation of parametric numerical models.These were then used to study the dynamic response of analyzed cellular structures by means of advanced nonlinear computational simulations using the ABAQUS and LS-DYNA code.Computational results were compared and validated by experimental testing program.