Mechanical properties characterization and zero Poisson’s ratio design for perforated auxetic metamaterial by computational homogenized method

Abstract

Metamaterial with elliptical perforations is characterized by a distinctive computational homogenized method. Two kinds of periodic displacement constraints representing tension and shear deformations, respectively, are applied to the unit cell. Then, the relationship of the undetermined displacement constraints in the micromechanical models and the assumed stress conditions in the equivalent orthotropic medium is derived to determine the effective properties. The method is validated by comparing to the experimental and FEM results. Next, the dependence of effective properties on microstructure parameters and base material composition is investigated. Correspondingly, the zero Poisson’s ratio design criterion is formulated to guide the metamaterial design.