Lattice structure design optimization under localized linear buckling constraints

An optimization method for the design of multi-lattice structures satisfying local buckling constraints is proposed in this paper. First, the concept of free material optimization is introduced to find an optimal elastic tensor distribution among all feasible elastic continua. By approximating the elastic tensor under the buckling-containing constraint, a matching lattice structure is embedded in each macro element. The stresses in local cells are especially introduced to obtain a better structure. Finally, the present method obtains a lattice structure with excellent overall stiffness and local buckling resistance, which enhances the structural mechanical properties.