Linear multiscale analysis and finite element validation of stretching and bending dominated lattice materials

The paper presents a multiscale procedure for the linear analysis of components made of lattice materials. The method allows the analysis of both pin-jointed and rigid-jointed microtruss materials with arbitrary topology of the unit cell. At the macroscopic level, the procedure enables to determine the lattice stiffness, while at the microscopic level the internal forces in the lattice elements are expressed in terms of the macroscopic strain applied to the lattice component. A numeric validation of the method is described. The procedure is completely automated and can be easily used within an optimization framework to find the optimal geometric parameters of a given lattice material.

► Methodology for the linear analysis of pin- and rigid- jointed lattice materials.
► Analysis of bidimensional lattices with arbitrary cell topology.
► Derivation of lattice internal forces as a function of applied macroscopic strain.
► Numerical validation of the procedure.