Journal ArticleDOI
A geometry projection method for continuum-based topology optimization with discrete elements
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TLDR
In this article, a differentiable geometry projection is proposed for the continuous topology optimization of linearly elastic planar structures made of bars of fixed width and semicircular ends, where the out-of-plane thickness is penalized so that the optimizer is capable of removing bars during the optimization.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2015-08-15. It has received 225 citations till now. The article focuses on the topics: Topology optimization & Random optimization.read more
Citations
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Journal ArticleDOI
A new topology optimization approach based on Moving Morphable Components (MMC) and the ersatz material model
TL;DR: This paper presents a new topology optimization approach based on the so-called Moving Morphable Components (MMC) solution framework that can not only allow for components with variable thicknesses but also enhance the numerical solution efficiency substantially.
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.
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Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons
TL;DR: In this article, an explicit topology optimization approach based on moving morphable components with curved skeletons (central lines) is proposed, which is achieved by constructing the topology description function (TDF) which describes the geometry of a structural component with curved skeleton explicitly in an elegant way.
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Length scale and manufacturability in density-based topology optimization
TL;DR: In this paper, a review of recent advancements in obtaining manufacturable topology-optimized designs is presented, focusing on methods for imposing minimum and maximum length scales, and ensuring manufacturable, well-defined designs with robust performances.
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Self-supporting structure design in additive manufacturing through explicit topology optimization
TL;DR: In this article, two solution approaches established based on the Moving Morphable Components (MMC) and moving Morphable Voids (MMV) frameworks, respectively, are proposed and some theoretical issues associated with AM oriented topology optimization are also analyzed.
References
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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.
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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.
Journal ArticleDOI
Structural optimization using sensitivity analysis and a level-set method
TL;DR: A new numerical method based on a combination of the classical shape derivative and of the level-set method for front propagation, which can easily handle topology changes and is strongly dependent on the initial guess.
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Generating optimal topologies in structural design using a homogenization method
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