Abstract

Finite element calculation is applied to assess elasticity parameters of random cellular structures with anisotropy. Cellular structure is generated using Random Sequential Addition algorithm. Anisotropy is considered by introducing elongation and orientation of ellipsoid voids. Structures are meshed using a regular mesh scheme. A uniaxial compression test is simulated under solid phase isotropy conditions. Effective Young's modulus and Poisson ratio are calculated and related to structural anisotropy parameters. Finite element results show a mesh-independence of elasticity parameters against scale and underline the large dependence of elasticity parameters to anisotropy and to the relative density of the cellular material: rigidity is increased in the anisotropy direction and mechanical instability in the other directions. Structures with large random population of ellipsoids contribute to lower such effect.

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