Journal ArticleDOI
Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method
Xiaodong Huang,Yi Min Xie +1 more
TLDR
In this paper, a mesh-independency filter using nodal variables is introduced to determine the addition of elements and eliminate unnecessary structural details below a certain length scale in the design.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 2007-10-01. It has received 572 citations till now. The article focuses on the topics: Topology optimization & Evolutionary algorithm.read more
Citations
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Journal ArticleDOI
Topological design and additive manufacturing of porous metals for bone scaffolds and orthopaedic implants: A review.
Xiaojian Wang,Shanqing Xu,Shiwei Zhou,Wei Xu,Martin Leary,Peter F. M. Choong,Ma Qian,Milan Brandt,Yi Min Xie +8 more
TL;DR: The state-of-the-art of topological design and manufacturing processes of various types of porous metals, in particular for titanium alloys, biodegradable metals and shape memory alloys are reviewed.
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
Auxetic metamaterials and structures: a review
TL;DR: In this paper, the relationship among structures, materials, properties and applications of auxetic metamaterials and structures is discussed. And the challenges and future work on the topic of auxetics are also presented to inspire prospective research work.
Journal ArticleDOI
Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials
Xiaodong Huang,Yi Min Xie +1 more
TL;DR: In this article, a new BESO method with a penalization parameter is developed, which can achieve convergent optimal solutions for structures with one or multiple materials, and a number of examples are presented to demonstrate the capabilities of the proposed method.
Journal ArticleDOI
A further review of ESO type methods for topology optimization
Xiaodong Huang,Yi Min Xie +1 more
TL;DR: In this paper, a series of numerical examples are provided to answer the critical comments and show the validity and effectiveness of the evolutionary structural optimization method and compare BESO with other well-established optimization methods.
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
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 simple evolutionary procedure for structural optimization
Yi Min Xie,Grant P. Steven +1 more
TL;DR: In this paper, a simple evolutionary procedure is proposed for shape and layout optimization of structures, where low stressed material is progressively eliminated from the structure during the evolution process, and various examples are presented to illustrate the optimum structural shapes and layouts achieved by this procedure.
Journal ArticleDOI
A 99 line topology optimization code written in Matlab
TL;DR: It is shown that only 49 Matlab input lines are required for solving a well-posed topology optimization problem and by adding three additional lines, the program can solve problems with multiple load cases.
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Generating optimal topologies in structural design using a homogenization method
Martin P. Bendsøe,Noboru Kikuchi +1 more