Topology optimization (TO) is a powerful technique capable of finding the optimal layout of material and connectivity within a design domain. However, designs obtained by TO are usually geometrically complex. Such complex designs cannot be fabricated easily by conventional manufacturing methods. Therefore, additive manufacturing (AM), a free-form manufacturing technique, is extensively coupled with TO. Like most techniques, AM has its own limitations. Consequently, a range of additive manufacturing oriented topology optimization (AM oriented TO) algorithms were proposed to generate the topologies suitable for AM. Due to existing trade-off relationships in AM oriented TO, investigating multi-objective AM oriented TO seems essential to obtain more practical solutions. This paper provides a review on the recent developments of MOTO, AM oriented TO, and trade-off relationships that exist in AM oriented TO. This review paper also discusses the challenges and future trends in these topics. It is hoped that this review paper could inspire both academics and engineers to make a contribution towards bridging together MOTO and AM.

中文翻译：

---

探索帕累托最优拓扑和面向增材制造的拓扑优化的最新进展和未来趋势

拓扑优化（TO）是一项功能强大的技术，能够在设计领域内找到最佳的材料布局和连通性。但是，通过TO获得的设计通常在几何上很复杂。这样的复杂设计不能通过常规制造方法容易地制造。因此，自由制造技术增材制造（AM）与TO广泛结合。像大多数技术一样，AM也有其自身的局限性。因此，提出了一系列面向增材制造的拓扑优化（面向AM的TO）算法，以生成适用于AM的拓扑。由于面向AM的TO中存在折衷关系，因此研究多目标面向AM的TO似乎对于获得更实际的解决方案至关重要。本文概述了MOTO，面向AM的TO，和面向AM的TO中存在的权衡关系。本文还讨论了这些主题中的挑战和未来趋势。希望本文能激发学者和工程师为将MOTO和AM融合在一起做出贡献。