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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Dissertation
Dual sequential approximation methods in structural optimisation
TL;DR: In this paper, a dual method of sequential approximate optimisation (SAO) is used to solve structural optimisation problems with nonconvex subproblems, and the global convergence of the method is investigated.
Journal ArticleDOI
Minimum-mass panels under probabilistic aeroelastic flutter constraints
Bret Stanford,Philip S. Beran +1 more
TL;DR: In this paper, a performance measure approach based on the first-order reliability method incorporates probabilistic flutter constraints during the search for a minimum-mass panel, and optimization results are given for uncertainties in the panel's boundary conditions, and for non-deterministic thickness design variables.
Journal ArticleDOI
Multi-resolution methods for the topology optimization of nonlinear electro-active polymers at large strains
TL;DR: The numerical experiments illustrate the benefits of the proposed methodology to obtain high-resolution designs with a reasonable computational cost and reveal the possibility for more flexible bounds for the critical ratio as those reported in linear elasticity.
Journal ArticleDOI
Concurrent topology and fiber orientation optimization method for fiber-reinforced composites based on composite additive manufacturing
TL;DR: In this article , a new optimization method for fiber-reinforced composite (FRC) parts is proposed to enlarge the orientation design space by concurrently designing the topology, the components partitioning and the fiber orientations.
Journal ArticleDOI
Simultaneous topology and fastener layout optimization of assemblies considering joint failure
TL;DR: The presented method models the force transfer at a joint location not only by using single spring elements but accounts for the size and type of the joints, resulting in assemblies connected in a fail-safe manner.
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.