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
Multi-resolution nonlinear topology optimization with enhanced computational efficiency and convergence
Journal ArticleDOI
Effects of planar element formulation and numerical integration order on checkerboard material layouts
TL;DR: In this article, the effects of selected planar finite element formulations, and their associated integration schemes, on the stiffness of a checkerboard material layout are investigated, and the proposed schemes effectively suppress spurious zero energy modes which may occur on the element level in topology optimization.
Journal ArticleDOI
Support-free robust topology optimization based on pseudo-inverse stiffness matrix and eigenvalue analysis
TL;DR: This paper demonstrates a quite simple robust optimization based on a pseudo-inverse stiffness matrix and eigenvalue analysis that successfully creates optimal design without constrained nodes.
Journal ArticleDOI
Topology Optimization of Elastoplastic Behavior Conditions by Selectively Suppressing Plastic Work
Eun-Ho Lee,Tae-Hyun Kim +1 more
TL;DR: In this paper, a topology optimization with an implicit analysis of elastoplastic constitutive equation in order to design supporting structures for unexpected heavy loading conditions was conducted. And the results showed that structures designed with accounting for plastic deformation had a reinforced area where plastic deformations occurred.
Journal ArticleDOI
New method for controlling minimum length scales of real and void phase materials in topology optimization
TL;DR: A new method for solving the minimum length scale controlling problem of real and void material phases, and it is shown that the proposed method is effective and can obtain a good 0/1 distribution final topology.
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.