Towards optimal heterogeneity in lattice structures

We present a multi-phase design parameterization to obtain optimized heterogeneous lattice structures. The 3D domain is discretized into cubical grid wherein each cube has eight distinct unit cell types or phases. When all phases are present, the resembles densely connected ground structure. cross-sectional area of beam segments in units, modelled using Timoshenko theory, variables. All particular phase have same cross section keep number variables low. optimization problem formulated for stiff structures and solved optimality criteria algorithm. case study show superiority topology-optimized over uniform lattices single phase. In order interpret composition, we perform four basic load tests on phases, namely, tension compression, shear, bending, torsion. ranked based stiffness corresponding individual loading conditions. results that structure, local internal configuration drives selection also note micropolar elasticity captures bulk behaviour structures, helps us