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具有极限弹性性能的多相材料微结构拓扑优化设计

Topology Optimization Design of Multiphase Material Microstructure with Extreme Elastic Properties
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摘要 传统材料结构设计以单材料结构为主,可以得到具有特殊性能的微观结构。而多相材料结构能够充分发挥各相材料的优良性能,成为结构设计领域的研究热点。为了实现多相材料周期性微结构拓扑优化设计,以结构的等效弹性性能为优化目标,以材料体积和力学性能为约束条件,结合能量均匀化方法,建立了基于有序SIMP插值法的多材料拓扑优化数学模型,通过优化算法对其进行求解,得到了边界清晰的多相材料微结构拓扑构型。然后通过数值算例对得到的结构进行对比分析,验证了该模型的正确性与该方法的有效性。 The traditional material structure design is based on the single material structure, and the microstructure with special properties can be obtained. The polyphase material structure can give full play to the excellent properties of various phase materials, and become a research hotspot in the field of structural design. In order to realize the topology optimization design of polyphase material periodic microstructure, the equivalent elastic performance of the structure is taken as the optimization objective, the volume and mechanical properties of the material are taken as the constraint conditions, and the energy homogenization method is combined to establish the topology optimization mathematical model of polyphase material based on the ordered simp interpolation method. Through the optimization algorithm,the topology structure of polyphase material microstructure with clear boundary is obtained Type. Then through the comparison between the numerical examples, the correctness of the model and the effectiveness of the method are verified.
作者 郭名璧 GUO Ming-bi(College of Mechanical and Power Engineering,China Three Gorges University,Yichang 443002,China)
出处 《内燃机与配件》 2020年第4期224-225,共2页 Internal Combustion Engine & Parts
基金 国家自然科学基金(51775308)。
关键词 多相材料 微结构 拓扑优化 multi-phase materials microstructure topology optimization
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