An equivalent continuum method based on micro–macro transformations of strains and stresses is developed to analyze the effective mechanical performances of three-dimensional plane-stress dominated plate-lattice materials. The equivalent stiffness matrix of the plate-lattice material is deduced by the equivalent continuum method. Based on the two-dimensional Mises yield criterion of the micro-plate, the yield criterion, yield strength and three-dimensional plastic yield surfaces of the plate-lattice materials are deduced. Anisotropy of the stiffness and strength is discussed for six typical plate-lattice materials. The predicted stiffness and strength are in good agreement with the experimental data, validating the present model in the prediction of the mechanical properties of the plate-lattice materials. Through the research, it is found that the plane-stress dominated topology makes the plate-lattice material stiffer and stronger than stretching-dominated truss-lattice material when there is no elastic buckling in both structures.

提出了一种基于应变和应力的微观转换的等效连续体方法，以分析三维平面应力为主的板格材料的有效力学性能。板格材料的等效刚度矩阵是通过等效连续介质法推导的。基于微板的二维米塞斯屈服准则，推导了板格材料的屈服准则，屈服强度和三维塑性屈服面。讨论了六种典型板格材料的刚度和强度各向异性。预测的刚度和强度与实验数据非常吻合，验证了该模型在板格材料力学性能预测中的有效性。通过研究，