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
More filters
Journal ArticleDOI
On multigrid-CG for efficient topology optimization
TL;DR: A computational approach that facilitates the efficient solution of 3-D structural topology optimization problems on a standard PC by exploiting specific characteristics of a multigrid preconditioned conjugate gradients (MGCG) solver.
Journal ArticleDOI
Multi-material topology optimization of laminated composite beam cross sections
TL;DR: In this article, a framework for simultaneous optimization of topology and laminate properties in structural design of laminated composite beam cross sections is presented. But the optimization framework is based on a multi-material topology optimization model in which the design variables represent the amount of the given materials in the cross section.
Journal ArticleDOI
Element connectivity parameterization for topology optimization of geometrically nonlinear structures
Gil Ho Yoon,Yoon Young Kim +1 more
TL;DR: In this paper, all finite elements are kept solid throughout the optimization process; zero-length elastic links are introduced to parameterize inter-element connectivity; the link stiffness is penalized.
Journal ArticleDOI
A gradient-based, parameter-free approach to shape optimization
TL;DR: A scheme with consistent filtering to introduce a length scale and thereby ensure smoothness in shape optimization while preserving the advantages of the independent node movement approach is proposed.
Journal ArticleDOI
Topology optimized low-contrast all-dielectric optical cloak
Jacob Andkjær,Ole Sigmund +1 more
TL;DR: In this paper, a methodology for designing low-contrast all-dielectric cloaks operating in the optical range is presented, where topology optimization is used to find the layout of standard dielectric material that minimizes the norm of the scattered field in the surroundings of the cloak.
References
More filters
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.