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 of planar linkage mechanisms
Suh In Kim,Yoon Young Kim +1 more
TL;DR: This study proposes a new formulation, which maximizes a single objective function, the energy transmittance efficiency, and synthesizes an automobile steering mechanism satisfying the Ackermann condition, which is solved here for the first time.
Journal ArticleDOI
Optimization of sensor placement to detect damage in flexible plates
Matteo Bruggi,Stefano Mariani +1 more
TL;DR: In this article, an approach to the optimal deployment of arrays of MEMS accelerometers over homogeneous thin plates to feel the local change of slope due to the inception or growth of damage, under slowly varying loadings is presented.
Journal ArticleDOI
Failure resistant topology optimization of structures using nonlocal elastoplastic-damage model
TL;DR: In this paper, an implicit nonlocal coupled elastoplastic damage model is considered for simulating the material damage and softening behavior, and the nonlocal effect from the void elements is removed by introducing a scaling scheme for the non-local parameters.
Journal ArticleDOI
Simultaneous shape and topology optimization of prestressed concrete beams
Oded Amir,Emad Shakour +1 more
TL;DR: A new optimization approach for the design of prestressed concrete beams is presented, where the shape of the tendon and the topology of the surrounding concrete are optimized simultaneously within a single problem formulation.
Journal ArticleDOI
Size-dependent optimal microstructure design based on couple-stress theory
TL;DR: In this article, the authors proposed a size-dependent topology optimization formulation of periodic cellular material microstructures, based on the effective couple-stress continuum model, which consists of finding the optimal layout of material that minimizes the mean compliance of the macrostructure subject to the constraint of permitted material volume fraction.
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.
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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.
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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.