Journal ArticleDOI
The COC algorithm, Part II: Topological, geometrical and generalized shape optimization
Ming Zhou,George I. N. Rozvany +1 more
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In this paper, the COC algorithm is applied to the simultaneous optimization of the topology and geometry of trusses with many thousand potential members, and numerical results obtained are shown to be in close agreement with analytical results.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1991-08-01. It has received 1412 citations till now. The article focuses on the topics: Topology optimization & Shape optimization.read more
Citations
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Material interpolation schemes in topology optimization
Martin P. Bendsøe,Ole Sigmund +1 more
TL;DR: In this article, the authors analyze and compare the various approaches to this concept in the light of variational bounds on effective properties of composite materials, and derive simple necessary conditions for the possible realization of grey-scale via composites, leading to a physical interpretation of all feasible designs as well as the optimal design.
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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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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.
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Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima
Ole Sigmund,Joakim Petersson +1 more
TL;DR: The current knowledge about numerical instabilities such as checkerboards, mesh-dependence and local minima occurring in applications of the topology optimization method are summarized and the methods with which they can be avoided are listed.
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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.
References
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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.
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An investigation concerning optimal design of solid elastic plates
Keng-Tung Cheng,Niels Olhoff +1 more
TL;DR: In this article, the problem of maximizing the integral stiffness of solid elastic plates described by thin plate theory is considered and an efficient and quite general numerical algorithm by means of which a number of stationary solutions for rectangular and axisymmetric annular plates with various boundary conditions are obtained.