Journal ArticleDOI
A level set method for structural topology optimization and its applications
Mei Yulin,Wang Xiaoming +1 more
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TLDR
In this article, the authors considered the multi-material and multi-constraint problems, and investigated the topology optimization algorithm by using the different material representation models, and broadened its application from stiff structure designs and compliant mechanism designs to material designs by a number of benchmark examples.About:
This article is published in Advances in Engineering Software.The article was published on 2004-07-01. It has received 251 citations till now. The article focuses on the topics: Topology optimization & Topological derivative.read more
Citations
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Journal ArticleDOI
Topology optimization approaches: A comparative review
Ole Sigmund,Kurt Maute +1 more
TL;DR: An overview, comparison and critical review of the different approaches to topology optimization, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.
Journal ArticleDOI
Level-set methods for structural topology optimization: a review
TL;DR: The convergence behavior of the optimization process is discussed, as well as control over the slope and smoothness of thelevel-set function, hole nucleation and the relation of level-set methods to other topology optimization methods.
Journal ArticleDOI
A survey of manufacturing oriented topology optimization methods
Jikai Liu,Yongsheng Ma +1 more
TL;DR: The traditional manufacturing methods of machining and injection molding/casting are reviewed, and the challenges and opportunities related to the emerging additive manufacturing (AM) are highlighted.
Journal ArticleDOI
A review of topology optimization for additive manufacturing: Status and challenges
TL;DR: It is shown that in the research of topology optimization for additive manufacturing, the integration of material, structure, process and performance is important to pursue high-performance, multi-functional and lightweight production.
Journal ArticleDOI
Design of compliant mechanisms using continuum topology optimization: A review
TL;DR: A survey of the state-of-the-art design advances in this research area over the past 20 years is presented and can be helpful to those engaged in the topology optimization of compliant mechanisms who desire to be apprised of the field’s recent state and research tendency.
References
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Journal ArticleDOI
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
Book
Level Set Methods and Dynamic Implicit Surfaces
Stanley Osher,Ronald Fedkiw +1 more
TL;DR: A student or researcher working in mathematics, computer graphics, science, or engineering interested in any dynamic moving front, which might change its topology or develop singularities, will find this book interesting and useful.
Book
Topology Optimization: Theory, Methods, and Applications
Martin P. Bendsøe,Ole Sigmund +1 more
TL;DR: In this article, the authors proposed a topology optimization by distribution of isotropic material for truss structures with anisotropic materials, based on the topology design of truss structure.
Journal ArticleDOI
Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science (2nd edition)
Journal ArticleDOI
Optimal shape design as a material distribution problem
TL;DR: In this article, various ways of removing this discrete nature of the problem by the introduction of a density function that is a continuous design variable are described. But none of these methods can be used for shape optimization in a general setting.
Related Papers (5)
Generating optimal topologies in structural design using a homogenization method
Martin P. Bendsøe,Noboru Kikuchi +1 more