Poisson coefficient of open cellular solids subject to structural anisotropy

• Published in: Journal of materials science Vol. 43; no. 14; pp. 4820 - 4827
• Main Author: Guessasma, S.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.07.2008; Springer; Springer Nature B.V; Springer Verlag
• Subjects: Algorithms; Anisotropy; cell structures; Cellular structure; Characterization and Evaluation of Materials; Chemical and Process Engineering; Chemistry and Materials Science; Classical Mechanics; Coefficients; Condensed matter: structure, mechanical and thermal properties; Crystallography and Scattering Methods; Density; Elasticity, elastic constants; Ellipsoids; Elongated structure; Engineering Sciences; Exact sciences and technology; finite element analysis; Finite element method; Food engineering; Life Sciences; Materials Science; Mathematical analysis; Mechanical and acoustical properties of condensed matter; Mechanical properties of solids; Percolation; Physics; Polymer Sciences; Solid Mechanics; Solid phases; Rigid Body Displacement; Poisson Coefficient; Plateau Border; Poisson Ratio; Relative Density; Finite element method; Open cell porosity; Anisotropy; Poisson ratio; Cellular structure; Elongation (mechanics); Structural analysis; COEFFICIENT DE POISSON; SOLIDE CELLULAIRE 3D; CELLULAR SOLID; POISSON COEFFICIENT; ANISOTROPY; MICROSTRUCTURE; DENSITE RELATIVE
• ISSN: 0022-2461; 1573-4803
• DOI: 10.1007/s10853-008-2696-9

The Poisson coefficients of a 3D cellular solid are calculated as function of structure characteristics. A significant structural anisotropy is introduced by considering ellipsoid voids where their elongation and orientation are controlled using the random sequential addition (RSA) algorithm. The relative density of the material is varied between 0.1 and 0.3 in order to obtain an open cell structure. Finite element calculation is performed to calculate the six Poisson coefficients of the material. Predicted results show that all quantities are not independent and that three independent coefficient sets can be related to the ratio of the fully oriented ellipsoids and the elongation parameters. No clear correlation can be derived between the Poisson coefficients and the relative density suggesting a fixed-point effect. It seems that some coefficients are more sensitive to the Poisson coefficient of the solid phase, especially under those conditions where the percolation of the solid, in the direction of main alignment, is the largest one.