Abstract:Stress concentration due to missing cell walls is an urgent problem to be solved in the additive manufactured process of cellular structures. Approximated the defect region with an elliptical hole and based on the complex function method, analytic formulas of the tensile stress and analytical method of the bending stress are proposed. Stress of the octagonal honeycombs with missing cell walls along one row and more rows under the biaxial loading are calculated and compared with the results of FEM, verifies the effectiveness of the proposed method. Results indicate that the analytical solutions of the tensile stress are fitted well to the numerical simulation results and there is an obvious linear relationship between the bending moment and the stress gradient. Moreover, comparison with the hexagonal honeycomb, stress concentration effects of the octagonal honeycomb with more rows defects in the case of and are found lower, which provide some theoretical guidance for the design of additive manufactured honeycombs.