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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Topology optimisation method applied to fabrication of developable ship hulls
TL;DR: In this article, a continuum-based design sensitivity analysis (DSA) method for non-shape problems is developed for linearly elastic structural systems, characterised by the design variables that are not associated with the domain of the system like sizing, material property, loading, and so on.
Journal ArticleDOI
Topological synthesis of fluidic pressure-actuated robust compliant mechanisms
TL;DR: In this paper , a robust density-based topology optimization approach for synthesizing pressure-actuated compliant mechanisms is presented, where the robust or three-field formulation is employed, involving dilated, intermediate and eroded realizations of the design.
Journal ArticleDOI
Cross-resolution topology optimization for geometrical non-linearity by using deep learning
Journal ArticleDOI
Optimization of structures made from composites with elliptical inclusions
Christopher Kozuch,Iwona Jasiuk +1 more
TL;DR: In this paper, the relationship between the parameters that define microstructures composed of a matrix with periodic elliptical inclusions and the effectiveness of structural optimization through the application of existing methods was determined.
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.