RVE determination and developement of an anisotropic elastic model for auxetic sheet metal

Abstract

This article deals with the development of an elastic tetragonal model for the 2D auxetic rotating units structures in the framework of orthogonal transformations. The existing anisotropy in the structure was frst determined by numerical simulations on the samples with diferent pattern orientation angles. A suitable representative volume element (RVE), which correctly represents the mechanical properties of the whole structure both in macroscale and in microscale, was then proposed by implementation of the kinematic periodic boundary conditions. In the next step, with the help of the orthogonal transformations relations, an anisotropic elastic model was developed, which correctly refects the present tetragonal symmetry in the structure. Finally, the model parameters were identifed and validated with the help of the corresponding experiments.