连续体结构拓扑优化已发展成为高性能结构创新构型设计的重要技术手段。本项目紧跟当前拓扑优化方法的研究热点和发展趋势，拟在完善现有基于光滑变形隐式曲线的二维结构拓扑优化方法的基础上，发展出基于光滑变形隐式曲面的三维结构拓扑优化方法，进而发挥所提方法优势以解决高性能结构拓扑优化设计难题，最终形成面向工程设计需求的高效率高精度拓扑优化方法。.研究内容包括：(1)利用拓扑导数理论和周长约束方法消除初始布局依赖性，探究有效应用这两项技术并能挖掘其潜力的先进措施；(2)提出参数极少且变形能力强的光滑变形隐式曲面的构建方法，研究减少重复计算并充分提高固定网格分析效率的关键技术；(3)施加局部应力约束和工程特征约束，针对约束数量过多、工程特征复杂以及奇异解问题等设计出创新性解决方案。本项目的成功实施能够推动先进拓扑优化技术深入解决更复杂、更具挑战性的高性能结构构型设计问题，具有重要的理论意义和工程应用价值。

Continuum structural topology optimization has become an important technology for the creative design of high performance structural configurations. Keeping up with the research hotspots and development trend, this project aims to form an engineering-oriented topology optimization method characterized by high efficiency and high precision, which will be carried out in the following three stages: firstly, the topology optimization method of 2D structures via smoothly deformable implicit curves will be improved; secondly, the topology optimization method of 3D structures via smoothly deformable implicit surfaces will be developed; thirdly, the advantages of the proposed method will be exploited to solve the problems related to the topology optimization design of high performance structures. .The details are as follows: (1) the initial layout dependency problem will be eliminated by means of topological derivative theory and perimeter constraint method, and the advanced measures related to the effective use and tapping the potential of the two technologies will be explored; (2) the construction method of the smoothly deformable implicit surface characterized by very few parameters and high deformation capacity will be proposed, the key techniques for reducing the amount of recalculation and significantly improving calculation efficiency will be studied; (3) local stress constraints and engineering features will be considered in topology optimization design, and innovative solutions will be designed to solve the problems related to the excessive number of constraints, the overcomplicated engineering features as well as the singularity phenomenon. The more complicated and more challenging problems concerning the design of high performance structural configurations will be solved thoroughly by enhancing the advanced topology optimization technology. Accordingly, the successful implementation of this project is of great significance in theory and practical value in engineering.