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Journal of Cellular Plastics
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Generation of Anisotropic Cellular Solid Model and Related Elasticity Parameters: Finite Element Simulation

Sofiane Guessasma

INRA, Biopolymères, Interactions & Assemblages (BIA) rue de la géraudière, Nantes 44316 Nantes, France

Guy Della Valle

INRA, Biopolymères, Interactions & Assemblages (BIA) rue de la géraudière, Nantes 44316 Nantes, France, dellaval{at}nantes.inra.fr

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.

Key Words: biopolymer extrusion • cellular structure • finite element calculation • ellipsoids • elongation • orientation • elasticity parameters.

Journal of Cellular Plastics, Vol. 45, No. 2, 119-136 (2009)
DOI: 10.1177/0021955X08099928
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