Architectural effect on 3D elastic properties and anisotropy of cubic lattice structures

Abstract

This article investigates the elastic properties of a large panel of lattice architectures using a continuous description of geometry. The elastic constants of the orthotropic material are determined, and discussed in terms of specific stiffness and of its density dependence. Different kinds of topology families are emerging depending on their specific deformation behavior. For some of them, interesting properties in terms of traction-compression were measured, while some other families are predominantly adapted to shear loading. Homogenization technique also allows to quantify the anisotropy of the structures and to compare them. Specific structures having quasi-isotropic properties even at low relative densities were detected. Experimental works demonstrated the validity of the numerical models, and highlighted the necessity to consider carefully the effect of defects on the specific strength, which are not negligible, despite being of the second-order. Finally, this article provides user-friendly maps for selection of optimal architectures for a large variety of specific needs, like a target stiffness or anisotropy. Keywords: Lattice structures, Porous materials, Homogenization, Elastic constants determination, Mechanical behavior