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
Tangent operators and design sensitivity formulations for transient non-linear coupled problems with applications to elastoplasticity
TL;DR: Tangent operators and design sensitivities for transient non-linear coupled problems were derived in this article for finite element implementations with history dependent response and rate-independent elastoplasticity.
Journal ArticleDOI
Evaluation of equivalent spring stiffness for use in a pseudo-rigid-body model of large-deflection compliant mechanisms
TL;DR: In this paper, the pseudo-rigid-body equivalent spring stiffness is investigated and new modeling equations are proposed to model the force/deflection relationships of large-deflection members in compliant mechanisms.
Journal ArticleDOI
Adaptive topology optimization of elastoplastic structures
TL;DR: In this article, an adaptive material topology optimization is extended to elastoplasticity, and the objective of the design problem is to maximize the structural ductility which is defined by the integral of the strain energy over a given range of a prescribed displacement.
BookDOI
Topology design of structures
TL;DR: In this paper, the Homogenization Method for Topology Design is used for topology design in a computer-aided design environment and the boundary shape design method is used.