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 topology optimization method for design of negative permeability metamaterials
Alejandro R. Diaz,Ole Sigmund +1 more
TL;DR: A methodology based on topology optimization for the design of metamaterials with negative permeability is presented, based on a thin layer of copper printed on a dielectric, rectangular plate of fixed dimensions.
Journal ArticleDOI
Deep Generative Design: Integration of Topology Optimization and Generative Models
TL;DR: In this article, an artificial intelligent (AI)-based design automation framework that is capable of generating numerous design options which are not only aesthetic but also optimized for engineering performance is proposed.
Journal ArticleDOI
Interpolation scheme for fictitious domain techniques and topology optimization of finite strain elastic problems
TL;DR: In this article, a new energy interpolation scheme is proposed in order to stabilize the numerical simulations, where elastic energy density in the solid and void regions is interpolated using the elastic energy densities for large and small deformation theory, respectively.
Journal ArticleDOI
Inverse design and demonstration of a compact on-chip narrowband three-channel wavelength demultiplexer
TL;DR: In this paper, an inverse design and experimentally demonstrate a three-channel wavelength demultiplexer with 40 nm spacing (1500, 1540, and 1580 nm) with a footprint of 24.75 μm2.
Journal ArticleDOI
Efficient design optimization of variable-density cellular structures for additive manufacturing: theory and experimental validation
TL;DR: In this article, a homogenization-based topology optimization method was proposed to optimize the design of variable-density cellular structure, in order to achieve lightweight design and overcome some of the manufacturability issues in additive manufacturing.
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.
Journal ArticleDOI
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.