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A critical review of established methods of structural topology optimization

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TLDR
In this paper, the authors evaluate and compare established numerical methods of structural topology optimization that have reached the stage of application in industrial software, and they hope that their text will spark off a fruitful and constructive debate on this important topic.
Abstract
The aim of this article is to evaluate and compare established numerical methods of structural topology optimization that have reached the stage of application in industrial software. It is hoped that our text will spark off a fruitful and constructive debate on this important topic.

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Journal ArticleDOI

Topology optimization approaches: A comparative review

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

A survey of structural and multidisciplinary continuum topology optimization: post 2000

TL;DR: Topology optimization is the process of determining the optimal layout of material and connectivity inside a design domain this paper, which is the same as the problem of finding the optimal configuration of a set of components.
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.
Book ChapterDOI

Design for Additive Manufacturing

TL;DR: In this article, the capabilities of additive manufacturing technologies provide an opportunity to rethink DFM to take advantage of the unique capabilities of these technologies, and several companies are now using AM technologies for production manufacturing.
References
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Journal ArticleDOI

Generating optimal topologies in structural design using a homogenization method

TL;DR: In this article, the authors present a methodology for optimal shape design based on homogenization, which is related to modern production techniques and consists of computing the optimal distribution in space of an anisotropic material that is constructed by introducing an infimum of periodically distributed small holes in a given homogeneous, i.i.
Book

Topology Optimization: Theory, Methods, and Applications

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

The method of moving asymptotes—a new method for structural optimization

TL;DR: In this article, a new method for non-linear programming in general and structural optimization in particular is presented, in which a strictly convex approximating subproblem is generated and solved.
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.
Journal ArticleDOI

A level set method for structural topology optimization

TL;DR: A new approach to structural topology optimization that represents the structural boundary by a level set model that is embedded in a scalar function of a higher dimension that demonstrates outstanding flexibility of handling topological changes, fidelity of boundary representation and degree of automation.
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