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
Sparse monolithic compliant mechanisms using continuum structural topology optimization
Salam Rahmatalla,Colby C. Swan +1 more
TL;DR: In this paper, a continuous, hinge-free compliant mechanism was designed and examined within a continuum structural topology optimization framework, where two distinctly different sets of springs were used to represent the resistance of the workpiece as it is manipulated by the mechanism, and the arrangement of a constrained amount of structural material was optimized to maximize the mechanism's mutual potential energy.
Journal ArticleDOI
Improved constraint-aggregation methods
TL;DR: This work proposes a new class of constraint-aggregation method that is called induced aggregates, and uses this method to examine the optimized mass obtained from two stress-constrained mass minimization problems: a variable-thickness sheet problem and a wingbox design problem.
Journal ArticleDOI
Conceptual design of reinforced concrete structures using topology optimization with elastoplastic material modeling
Michael Bogomolny,Oded Amir +1 more
TL;DR: In this paper, the authors present a computational procedure for optimal conceptual design of reinforced concrete structures on the basis of topology optimization with elastoplastic material modeling, including the appropriate yield criteria and post-yielding response.
Journal ArticleDOI
Simultaneous topology optimization of structure and supports
TL;DR: In this article, the authors demonstrate a method for and the benefits of simultaneously designing structure and support distribution using topology optimization by introducing a new set of design variables that represents supported areas.
Journal ArticleDOI
Topology optimization for heat transfer enhancement in Latent Heat Thermal Energy Storage
TL;DR: A topology optimization framework of a Thermal Energy Storage system involving phase change is presented and it is observed that 3D designs allow superior performances by presenting features that are not apparent in 2D.
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.
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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.