A short survey: topological shape optimization of structures using level set methods

Publisher:
OMICS Group Inc
Publication Type:
Journal article
Citation:
Luo, Zhen 2013, 'A short survey: topological shape optimization of structures using level set methods', Journal of Applied Mechanical Engineering, vol. 2, no. 2, pp. 1000123.1-1000123.5.
Issue Date:
2013
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This paper will give a short survey about topology optimization of structures. It is particularly focused on topological shape optimization of structures using level-set methods, including the level-set based standard methods and the level-set based alternative methods. The former often directly solve the Hamilton-Jacobi partial differential equation (H-J PDE) to obtain the boundary velocity field using Finite Differential Methods (FDM), and the later commonly employ parametric or equivalent methods to evaluate the velocity field without directly solving the H-J PDE. The unique characteristics of the level-set based topology optimization methods are discussed, and a future perspective and prospects in this research area is also included. A benchmark numerical example is used to showcase the effectiveness of the level-set based methods.
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