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
Topology optimization of composite structures with data-driven resin filling time manufacturing constraint
Yuqing Zhou,Kazuhiro Saitou +1 more
TL;DR: A framework for modeling the data-driven manufacturing constraints and integrating them into the structural topology optimization and the proposed surrogate model of resin filling time predictive model is presented, which is far more generalizable than the traditional surrogate models based on, e.g., bitmap and local feature representation.
Journal ArticleDOI
An empirical study on stress-based fail-safe topology optimization and multiple load path design
TL;DR: The maximum stress is considered as optimization objective to be minimized, since failure is typically driven by the occurring stresses and thus of more practical relevance than the compliance.
Journal Article
Strain energy maximization approach to the design of fully compliant mechanisms using topology optimization
TL;DR: In this article, the authors present an alternative approach for the design of Fully Compliant Machines using Topology Optimization, which can be extended to MULTIPHYSICS and non-linear problems.
Journal ArticleDOI
An efficient decoupled sensitivity analysis method for multiscale concurrent topology optimization problems
TL;DR: It can be concluded from the results that the decoupled method is computationally much more efficient than the coupled method, while they are mathematically equivalent.
Proceedings ArticleDOI
Compliant mechanism design with non-linear materials using topology optimization
Daeyoon Jung,Hae Chang Gea +1 more
TL;DR: In this paper, a general displacement functional with non-linear material model is used in the topology optimization formulation to maximize the mechanical advantage of a compliant mechanism, and the effect of nonlinear material on the optimal design is considered.
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.