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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Proceedings ArticleDOI
Topology Optimization Benchmark Problems for Assessing the Performance of Optimization Algorithms
Graeme J. Kennedy,Yicong Fu +1 more
Journal ArticleDOI
Integrating visual sensing and structural identification using 3D-digital image correlation and topology optimization to detect and reconstruct the 3D geometry of structural damage
TL;DR: In this paper , a 3D-DIC-based topology optimization framework is proposed to detect structural structural components. But the method is not suitable for the detection of structural structural defects.
Journal ArticleDOI
Cross-resolution topology optimization for geometrical non-linearity by using deep learning
TL;DR: A cross-resolution Pix 2pix neural network (CR-Pix2pix NN) is developed to build the high-dimensional mapping between the low-resolution intermediate configuration (IC) and the corresponding high-resolution optimized configuration.
Structural Optimization with Fatigue Constraints
TL;DR: A new approach to optimization of jacket structures has been established, and an effective formulation is proposed for proportional loading conditions, where finite-life constraints are formulated such that the computational costs of the design sensitivity analysis is comparable to static stress optimization.
Journal ArticleDOI
Coupling Moving Morphable Voids and Components Based Topology Optimization of Hydrogel Structures Involving Large Deformation
TL;DR: In this article, a coupling of moving morphable void and component approach for the topology optimization of hydrogel structures involving recoverable large deformation is proposed, where the geometric parameters of moving morpable voids and components are set as design variables to respectively describe the outline and material distribution.
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.