This paper will give a short survey about topology optimization of structures. It is particularly focused on topologicalshape optimization of structures using level-set methods, including the level-set based standard methods and thelevel-set based alternative methods. The former often directly solve the Hamilton-Jacobi partial differential equation(H-J PDE) to obtain the boundary velocity feld using Finite Differential Methods (FDM), and the later commonlyemploy parametric or equivalent methods to evaluate the velocity feld without directly solving the H-J PDE. Theunique characteristics of the level-set based topology optimization methods are discussed, and a future perspectiveand prospects in this research area is also included. A benchmark numerical example is used to showcase theeffectiveness of the level-set based methods.
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