论文部分内容阅读
为了进一步探索胞元材料力学性能与材料拓扑构型的相关性,分析了不同二维和三维胞元材料的拓扑构型特征以及材料的模量与强度,得到了拉伸主导型和弯曲主导型胞元材料的力学性能与材料相对密度之间的关系,并对各种构型的力学性能进行了对比分析。在Deshpande拓扑规则的基础上,由等效连续介质刚度矩阵的非奇异性特征得到了拉伸主导型胞元材料的基本拓扑构型特征。研究表明:平面条件下拉伸主导型胞元材料必须具有3组或3组以上不同方向的连续杆件,而空间状态下拉伸主导型胞元材料必须具有6组或6组以上不同方向的连续杆件。
In order to further explore the correlation between the mechanical properties of cell materials and the topological configuration of the materials, the topological configuration features and the modulus and strength of different two-dimensional and three-dimensional cell materials were analyzed. The tensile dominant and bending dominant The relationship between the mechanical properties of cell materials and the relative density of materials, and comparative analysis of the mechanical properties of various configurations. Based on the Deshpande topological rules, the basic topological configurations of tensile-dominant cell materials are obtained from the nonsingularity of the equivalent continuum stiffness matrix. The results show that under the planar condition, the material of the leading cell should have three or more continuous rods in different directions. In the space state, the material of the leading cell should have six or more groups in different directions Continuous rod.