Estimation of the mechanical properties of lightweight lattice structures subjected to compressive loading (3rd report, effects of the constrained condition along the edges on the mechanical properties of lattice structure)

In this paper, effects of the constrained condition along the edges on the mechanical properties (initial stiffness E* and plastic collapse strength σ*pl,) of lattice structures are discussed based on theoretical and numerical stress analysis, FEM. The mechanical properties strongly depend on the number of unit cell in three directions x, y, z, and if the number along the loading direction N_z=1, the deformed pattern occurred in a lattice structure can be classified into three types, and the mechanical properties can be estimated by using theoretical results of E* and σ"*pl for each types with a good accuracy. Moreover, the structure having the same number of unit cell in x and y direction (N_x=N_y) shows the higher mechanical properties than any other cases of lattice structures with N_x ≠ N_y.