Journal ArticleDOI
Adaptive topology optimization with independent error control for separated displacement and density fields
Yiqiang Wang,Zhan Kang,Qizhi He +2 more
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TLDR
In this article, an adaptive method for topology optimization of structures, by using independent error control for the separated displacement and material density fields, is proposed, which can achieve high quality and high-accuracy optimal solutions comparable to those obtained with fixed globally fine analysis meshes and fine distributed density points, but with much less computational cost.About:
This article is published in Computers & Structures.The article was published on 2014-04-01. It has received 61 citations till now. The article focuses on the topics: Displacement field & Topology optimization.read more
Citations
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Journal ArticleDOI
A multi-resolution method for 3D multi-material topology optimization
Jaejong Park,Alok Sutradhar +1 more
TL;DR: In this paper, an alternating active-phase algorithm where the problem at hand is divided into a series of the traditional material-void phase topology optimization is employed for the multi-material problem.
Journal ArticleDOI
Bi-material microstructural design of chiral auxetic metamaterials using topology optimization
TL;DR: In this paper, a new bi-material microstructural design method for chiral auxetic metamaterials based on the independent point-wise density interpolation (iPDI) and a bimaterial model is formulated using nodal density variables.
Journal ArticleDOI
A polytree‐based adaptive polygonal finite element method for topology optimization
TL;DR: The polytree meshes do not only improve the boundary description quality of the optimal result but also reduce the computational cost of optimization process in comparison with the use of uniformly fine meshes.
Journal ArticleDOI
A polytree-based adaptive polygonal finite element method for multi-material topology optimization
Khai N. Chau,Khai N. Chau,Khanh N. Chau,Khanh N. Chau,Tuan Ngo,Klaus Hackl,Hung Nguyen-Xuan,Hung Nguyen-Xuan +7 more
TL;DR: The combination of polytree meshes and adaptive filters not only clarifies the interfaces between material phases, but also decreases the computing time of the overall process in comparison to using the regular fine meshes.
Journal ArticleDOI
Adaptive mesh refinement in stress-constrained topology optimization
Miguel A. Salazar de Troya,Miguel A. Salazar de Troya,Daniel A. Tortorelli,Daniel A. Tortorelli +3 more
TL;DR: A topology structural optimization framework with adaptive mesh refinement and stress-constraints that combines a volume fraction filter to impose a minimum design feature size, the RAMP penalization to generate “black-and-white designs” and a RAMP-like stress definition to resolve the "stress singularity problem".
References
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Journal ArticleDOI
Generating optimal topologies in structural design using a homogenization method
Martin P. Bendsøe,Noboru Kikuchi +1 more
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
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
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
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
Martin P. Bendsøe,Noboru Kikuchi +1 more