首次利用水平基物质分布函数推出域内积分与边界积分泛函的形状导数,建立了复合材料刚性连续结构拓扑优化设计理论的新模型.通过将形状导数和增广的Lagrangian乘子法相结合,提出了复合材料结构拓扑优化敏度分析的新方法.设计边界的进化是通过人为掌握目标函数下降的速度来控制.水平基函数的曲面在不改变拓扑结构的前提下上下运动,从而通过边界的合并与分离改变嵌入其中的零水平基面上设计构件的拓扑结果.广泛的2D复合材料悬臂梁研究验证了本文中方法的有效性.
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