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
Overheating control in additive manufacturing using a 3D topology optimization method and experimental validation
Two-dimensional topology optimization of fluid channel distributions – pressure objective
TL;DR: In this article, a pressure minimization objective was considered and a flow-rate-specific topology optimization was needed to reduce over-all pressure drop in a miniature cooling channel.
Journal ArticleDOI
Multi-joint topology optimization for stiffness constrained design problems
Timo Sirola,Il Yong Kim +1 more
Book ChapterDOI
Topology Optimization of Piezoelectric Actuators Considering Geometric Nonlinearities
TL;DR: This work shows a methodology for the optimum design of piezelectric actuators undergoing large deformations through an equilibrium formulation for the finite movement of a piezoelectric body as well as its finite element discretization through a new coupled-field arc-length algorithm.
Dissertation
Topology optimization of heat and mass transfer in bi-fluid laminar flow : application to heat exchangers
TL;DR: The thesis establishes the basis of a new design methodology of heat exchangers by using topology optimization methods, which allow greater design freedom and do not require prior definition of the exchanger geometry.
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.