Multi-scale topology optimization (a.k.a. micro-structural topology optimization, MTO) consists in optimizing macro-scale and micro-scale topology simultaneously. MTO could improve structural performance of products significantly. However, a few issues related to connectivity between micro-structures and high computational cost have to be addressed, without resulting in loss of performance. In this paper, a new efficient multi-scale topology optimization (EMTO) framework has been developed for this purpose. Connectivity is addressed through adaptive transmission zones which limit loss of performance. A pre-computed database of micro-structures is used to speed up the computing. Design variables have also been chosen carefully and include the orientation of the micro-structures to enhance performance. EMTO has been successfully tested on two-dimensional compliance optimization problems. The results show significant improvements compared to mono-scale methods (compliance value lower by up to 20% on a simplistic case or 4% on a more realistic case), and also demonstrate the versatility of EMTO.

多尺度拓扑优化（又名微结构拓扑优化，MTO）包括同时优化宏观和微观拓扑。MTO可以显着改善产品的结构性能。然而，必须解决与微结构之间的连接性和高计算成本相关的一些问题，而不会导致性能损失。在本文中，一种新的高效多尺度拓扑优化(EMTO) 框架已为此目的而开发。通过限制性能损失的自适应传输区域解决连接问题。预先计算的微结构数据库用于加速计算。还仔细选择了设计变量，包括微结构的方向以提高性能。EMTO 已在二维合规优化问题上成功测试。结果显示与单尺度方法相比有显着改进（在简单的情况下合规性值降低高达 20%，在更实际的情况下降低 4%），并且还证明了 EMTO 的多功能性。