Since its introduction by Bendsøe and Kikuchi in (1988) , topology optimization has developed from a purely academic discipline to the preferred tool for light-weighting structures in automotive, aerospace and other weight conscious industries. Topology optimization solves mechanical and multiphysics design problems allowing the ultimate design freedom, i.e. it determines whether any point (or element) in space should be filled with material or left empty in order to optimize a given objective function while satisfying physical and geometrical constraints. The talk will give an overview of the field, a.o. demonstrated by recent giga-scale applications in aeroplane wing and super-long suspension bridge design. Originally, the approach focused on simple compliance minimization problems but recent works to be discussed have paved the way for solving large scale stress constraint problems with hundreds of millions of constraints as well as large scale buckling problems. We also discuss ways to reduce the CPU time for large scale problems by use of efficient multiscale approaches and knowledge of optimal microstructures. Finally, other directions including design for geometry control and manufacturability, metamaterial design and multiphysics problems will be briefly reviewed.

EML Webinar speakers and videos are updated at https://imechanica.org/node/24098.

自从Bendsøe和Kikuchi在1988年提出拓扑结构优化以来，拓扑优化已从纯粹的学术学科发展成为汽车，航空航天和其他注重重量的行业中轻量化结构的首选工具。拓扑优化解决了允许最终设计自由的机械和多物理场设计问题，即，它确定空间中的任何点（或元素）应填充材料还是留空，以便在满足物理和几何约束的同时优化给定的目标函数。演讲将概述该领域，最近在飞机机翼和超长悬索桥设计中的大规模应用也证明了这一点。本来，该方法侧重于简单的合规性最小化问题，但是要讨论的最新工作为解决具有数亿个约束的大规模应力约束问题以及大规模屈曲问题铺平了道路。我们还将讨论通过使用有效的多尺度方法和最佳微结构知识来减少大规模问题的CPU时间的方法。最后，将简要回顾其他方向，包括几何控制和可制造性设计，超材料设计和多物理场问题。

EML网络研讨会的演讲者和视频在https://imechanica.org/node/24098上进行了更新。