华东交通大学机电与车辆工程学院
国家自然科学基金资助项目(52165016)；江西省教育厅科技项目(GJJ210631)
National Natural Science Foundation of China, 52165016；Scientific and Technological Research Project of the Education Department of Jiangxi Province, GJJ210631,
自修复材料作为一种力学构件不仅需要结构宏观构型的拓扑优化，而且需要兼顾自修复剂载体微胶囊的尺寸和分布对自修复材料力学性能和修复效果的影响，因此对结构宏观构型与内置微胶囊进行协同优化具有重要的意义。研究基于可移动变形组件法，以各向同性材料为对象，以结构柔度为目标函数，材料面积为约束条件，建立了内置微胶囊组件的二维数学模型，基于移动渐近线法（MMA），给出了协同优化自修复材料的设计方法，并与经典自修复材料进行了对比研究，验证了协同优化的优越性。研究表明:（1）两类自修复材料的构型具有相似性；（2）两类自修复材料的结构柔度均随微胶囊体积分数的增加而提高，力学性能发生不同程度的劣化；（3）与经典自修复材料相比，随着体积分数的增加，协同优化自修复材料呈现出更为优异的力学性能，当体积分数接近14%时，其柔度值仅为经典自修复材料的66.1%。
Self-healing material is usually used as a mechanical component, which not only needs to consider the topological optimization of the macro-configuration of the structure, but also needs to consider the influence of the size and distribution of self-healing agent carrier microcapsules on the mechanical properties and healing effect of self-healing material. Therefore, the collaborative optimization of structural macroscopic configuration and internal microcapsules is of great significance. The research is based on Movable Morphable Component, for isotropic material object, using structural compliance as the objective function, the material area as constraint conditions, the establishment of a built-in microcapsules component two-dimensional mathematical model, based on the method of moving asymptote (MMA), collaborative optimization design method of self-healing materials is given, and compared with the classic self-healing materials, the superiority of collaborative optimization is verified. The results show that: (1) The configuration of two self-healing materials is similar; (2) The structural compliance of the two kinds of self-healing materials increased with the increase of microcapsule volume fraction, and the mechanical properties deteriorated to different degrees; (3) Compared with the classical self-healing materials, the collaborative optimized self-healing materials showed more excellent mechanical properties with the increase of volume fraction. When the volume fraction was close to 14%, the compliance of the collaborative optimized self-healing materials was only 66.1% of that of the classical self-healing materials.
