Design of Frame-Like Periodic Solids for Isotropic Symmetry by Member Sizing

Abstract

In this study, a methodology to design frame-like periodic solids for isotropic symmetry by appropriate sizing of unit-cell struts is presented. The methodology utilizes the closed-form effective elastic constants of 2D frame-like periodic solids with square symmetry and 3D frame-like periodic solids with cubic symmetry, derived using the homogenization method based on equivalent strain energy. By using the closed-form effective elastic constants, an equation to enforce isotropic symmetry can be analytically constructed. Thereafter, the equation can be used to determine relative unit-cell strut sizes that are required for isotropic symmetry. The methodology is tested with 2D and 3D frame-like periodic solids with some common unit-cell topologies. Satisfactory results are observed.

Effect of print parameters on additive manufacturing of metallic parts: performance and sustainability aspects

“…An inhomogeneous material in which the inhomogeneities are distributed periodically can be considered a periodic material, also known as a lattice structure. If a lattice structure consists of a substantial number of periodic unit cells, the effective properties can be determined 41,42 . In manufactured lattice structures, such unit-cell patterns are used to help reduce the amounts of raw materials used (compared to solid material) while retaining the desired properties matching their applications.…”