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 approaches: A comparative review
Ole Sigmund,Kurt Maute +1 more
TL;DR: An overview, comparison and critical review of the different approaches to topology optimization, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.
Journal ArticleDOI
Morphology-based black and white filters for topology optimization
TL;DR: In this article, the physical stiffness of an element is based on a function of the design variables of the neighboring elements, and a new class of morphology-based restriction schemes that work as density filters is introduced.
Journal ArticleDOI
A survey of structural and multidisciplinary continuum topology optimization: post 2000
TL;DR: Topology optimization is the process of determining the optimal layout of material and connectivity inside a design domain this paper, which is the same as the problem of finding the optimal configuration of a set of components.
Journal ArticleDOI
On projection methods, convergence and robust formulations in topology optimization
TL;DR: It is shown that simple projection methods do not ensure localMesh convergence and a modified robust topology optimization formulation based on erosion, intermediate and dilation projections is proposed that ensures both global and local mesh-convergence.
Journal ArticleDOI
Efficient topology optimization in MATLAB using 88 lines of code
TL;DR: The paper presents an efficient 88 line MATLAB code for topology optimization using the 99 line code presented by Sigmund as a starting point, and a considerable improvement in efficiency has been achieved, mainly by preallocating arrays and vectorizing loops.
References
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Journal ArticleDOI
Design optimization method for compliant mechanisms and material microstructure
TL;DR: In this paper, a design methodology based on the global-local modeling method is described along with its application to the design of the optimum layout of compliant mechanisms and the microstructure of composite materials.
Journal ArticleDOI
Distributed-parameter optimization and topology design for non-linear thermoelasticity
TL;DR: In this article, the authors formulate the distributed-parameter optimization and topology design problems (using the perimeter method) for non-linear thermoelasticity, and present a finite element optimization procedure based on this formulation.
Proceedings ArticleDOI
Topology optimization of geometrically nonlinear structures and compliant mechanisms
T.E. Bruns,Daniel A. Tortorelli +1 more
TL;DR: In this article, a Gaussian-weigh ted density measure is introduced for structural topology optimization, which accommodates geometric and material nonlinearities, and its impact on the structural optimization is investigated.
Journal ArticleDOI
Optimal design for polymer extrusion. Part I : Sensitivity analysis for nonlinear steady-state systems
TL;DR: In this paper, a general framework to obtain analytical design sensitivities for steady-state nonlinear systems where special emphasis is given to design variables that define prescribed boundary conditions is presented, and the sensitivities are derived for a general response functional using both the direct and adjoint methods and compared to show that the two sensitivity analysis methods yield identical expressions.
Proceedings ArticleDOI
Topology optimization in multiphysics problems
TL;DR: The design of electrothermomechanically coupled MEMS will be considered, a possible application of multiphysics topology optimization methods in the design of MicroElectroMechanical Systems.