Homogenization of periodic auxetic materials

Justin Dirrenberger (1) , Samuel Forest (1) , Dominique Jeulin (2) , Christophe Colin (1)

1 CDM - Centre des Matériaux
2 CMM - Centre de Morphologie Mathématique

Materials presenting a negative Poisson's ratio (auxetics) have drawn attention for the past two decades, especially in the field of lightweight composite structures and cellular materials. Studies have shown that auxeticity may result in higher shear modulus, fracture toughness and acoustic damping. In this work, three auxetic periodic lattices are considered. Elastic moduli are computed and anisotropy is investigated by the use of finite element method combined with numerical homogenization technique.

Mots clés: Finite element method; Auxetics; Negative Poisson's ratio; Periodic boundary conditions; Architectured materials; Anisotropy; Elasticity

Domaines: Matériaux

Justin Dirrenberger, Samuel Forest, Dominique Jeulin, Christophe Colin. Homogenization of periodic auxetic materials. 11th International Conference on the Mechanical Behavior of Materials (ICM11), Jun 2011, Côme, Italy. pp.1847-1852, ⟨10.1016/j.proeng.2011.04.307⟩. ⟨hal-00607077⟩