Journal ArticleDOI
Topology optimization of non-linear elastic structures and compliant mechanisms
T.E. Bruns,Daniel A. Tortorelli +1 more
TLDR
In this paper, the material density field is filtered to enforce a length scale on the field variation and is penalized to remove less effective intermediate densities to resolve the non-existent solution to the solid void topology problem.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2001-03-16. It has received 1125 citations till now. The article focuses on the topics: Topology optimization & Optimization problem.read more
Citations
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Journal ArticleDOI
Isogeometric topology optimization using trimmed spline surfaces
TL;DR: The trimmed surface analysis which can treat topologically complex spline surfaces using trimming information provided by CAD systems is employed for structural response analysis and sensitivity calculation in the topology optimization.
Journal ArticleDOI
Deep learning for topology optimization of 2D metamaterials
TL;DR: A deep learning model based on a convolutional neural network that predicts optimal meetamaterial designs and non-iteratively optimizes metamaterials for either maximizing the bulk modulus, maximizing the shear modulus or minimizing the Poisson's ratio.
Journal ArticleDOI
Eliminating beta-continuation from Heaviside projection and density filter algorithms
TL;DR: In this article, the authors proposed modifications to optimizer algorithms and/or Heaviside formulation that allow this continuation method to be eliminated, and tested on minimum compliance and compliant inverter benchmark problems and are shown to be effective and efficient.
Journal ArticleDOI
Topology optimisation for natural convection problems
TL;DR: In this paper, the authors demonstrate the application of the density-based topology optimisation approach for the design of heat sinks and micropumps based on natural convection effects.
Journal ArticleDOI
Robust topology optimization of photonic crystal waveguides with tailored dispersion properties
TL;DR: In this article, a robust topology optimization method is formulated to tailor dispersion properties of photonic crystal waveguides, with consideration of manufacturing uncertainties, to ensure a satisfactory performance in the case of an under- or overetching scenario in the manufacturing process.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
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.
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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
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.