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
A new scheme for imposing a minimum length scale in topology optimization
TL;DR: A new scheme for imposing a minimum length scale in topology optimization is presented, formulated as one constraint that is computationally cheap and for which sensitivities are also cheap to compute, and produces compliant mechanisms with distributed flexibility.
Journal ArticleDOI
Large-scale topology optimization in 3D using parallel computing
Thomas Borrvall,Joakim Petersson +1 more
TL;DR: This work considers large-scale topology optimization of elastic continua in 3D using the regularized intermediate density control introduced in [1] using the nested approach, i.e., equilibrium is solved at each iteration.
Journal ArticleDOI
Development of heat sink device by using topology optimization
Adriano A. Koga,Edson Comini C. Lopes,Helcio Francisco Villa Nova,Cícero R. de Lima,Emílio Carlos Nelli Silva +4 more
TL;DR: This work proposes to present the complete cycle development of an optimized heat sink designed by using Topology Optimization Method (TOM) for best performance, including minimization of pressure drop in fluid flow and maximization of heat dissipation effects, aiming small scale applications.
A new scheme for imposing a minimum length scale in topology optimisation
TL;DR: In this paper, a new scheme for imposing a minimum length scale in topology optimization is presented, which guarantees the existence of an optimal design for a large class of topological optimization problems of practical interest.
Journal ArticleDOI
Topology Optimization for Architected Materials Design
Mikhail Osanov,James K. Guest +1 more
TL;DR: In this article, the design problem is posed and solved formally as an optimization problem with unit cell and upscaling mechanics embedded within this formulation, and several fundamental findings related to optimization of elastic, thermal, and fluidic properties in periodic materials are discussed.
References
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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.