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
Giga-voxel computational morphogenesis for structural design
TL;DR: A computational morphogenesis tool, implemented on a supercomputer, that produces designs with giga-voxel resolution that provides insights into the optimal distribution of material within a structure that were hitherto unachievable owing to the challenges of scaling up existing modelling and optimization frameworks is reported.
Journal ArticleDOI
Topology synthesis of large‐displacement compliant mechanisms
TL;DR: In this article, the use of topology optimization as a synthesis tool for the design of large-displacement compliant mechanisms is described, and an objective function for the synthesis of large displacement mechanisms is proposed together with a formulation for synthesis of path-generating compliant mechanisms.
Journal ArticleDOI
An efficient 3D topology optimization code written in Matlab
Kai Liu,Andres Tovar +1 more
TL;DR: An efficient and compact Matlab code to solve three-dimensional topology optimization problems and the theoretical and numerical elements to implement general non-linear programming strategies such as SQP and MMA are presented.
Journal ArticleDOI
Manufacturing tolerant topology optimization
TL;DR: Applications of the topology optimization method to the design of macro structures for minimum compliance and micro compliant mechanisms show that the method provides manufacturing tolerant designs with little decrease in performance.
Journal ArticleDOI
Bridging topology optimization and additive manufacturing
Tomás Zegard,Glaucio H. Paulino +1 more
TL;DR: In this paper, the ground structure method and density-based topology optimization are used to generate additive manufacturing output, with specific examples given from the fields of health, architecture and engineering.
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.
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.