Prediction of the mechanical properties of micro-lattice structures subjected to multi-axial loading

The mechanical properties of micro-lattice structures subjected to a normal stress state are investigated using both a classical beam theory approach and the finite element technique. In particular, an approach for predicting the yield surface of lattice structures subjected to either a uniaxial or a biaxial stress state is proposed. In addition, the geometrical and material conditions for the occurrence of elastic buckling under a triaxial stress state are identified. The stiffness and plastic collapse strengths of the micro-lattice structures are compared with the corresponding properties of other lightweight structures. It is shown that micro-lattices offer significant potential for use in the design of lightweight cellular structures.