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提出了基于能量法的微结构灵敏度计算和构型优化新方法,与均匀化方法相比,虽然本质相同,但计算效率高、且软件实现更加简便。本文以微结构等效弹性矩阵各分量的不同组合为设计目标,采用对偶凸规划方法结合周长约束策略进行二维、三维微结构构型优化设计。算例结果表明,采用能量法的微结构优化方法与均匀化方法具有相同的效果,不仅能获得具有极端特性构型的材料微结构,而且具有推导简洁、编程简单的优点。
A new method of sensitivity and configuration optimization based on energy method is proposed. Compared with the homogenization method, the method has the same essence but the calculation efficiency is high and the software is easier to implement. In this paper, different combinations of the components of the microstructure equivalent elastic matrix are used as the design goals. The dual-convex programming method and the perimeter constraint strategy are used to optimize the 2D and 3D microstructures. The experimental results show that the microstructure optimization method and the homogenization method using the energy method have the same effect, which not only can obtain the material microstructure with the extreme characteristic configuration, but also has the advantages of simple derivation and simple programming.