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
Simple, accurate surrogate models of the elastic response of three-dimensional open truss micro-architectures with applications to multiscale topology design
Seth Watts,William Arrighi,Jun Kudo,Daniel A. Tortorelli,Daniel A. Tortorelli,Daniel A. White +5 more
TL;DR: This work provides simple, accurate surrogate models of the homogenized linear elastic response of the isotruss, the octet truss, and the ORC truss based on high-fidelity continuum finite element analyses that are relatively accurate over the full range of relative densities, in contrast to analytical models in the literature.
Journal ArticleDOI
Design and experimental validation of self-supporting topologies for additive manufacturing
TL;DR: This paper presents the smooth design of self-supporting topologies using the combination of a new Solid Isotropic Microstructure with Penalisation method (SIMP) developed based on elemental volume fractions and an existing AM filter and it is illustrated that the proposed method is able to generate convergent self- supports which are printable using FDM.
Journal ArticleDOI
Algorithm-driven design of fracture resistant composite materials realized through additive manufacturing
TL;DR: In this paper, an optimization algorithm is used to assess material fracture resistance in the presence of a crack, and the analysis is further extended through experiments that involve the use of additive manufacturing.
Journal ArticleDOI
Optimal design of fiber reinforced composite structures and their direct ink write fabrication
TL;DR: This work proposes to optimize the design of composite structures that are amenable to Additive Manufacturing (AM) and formulate the linking sequence of the toolpaths as a traveling salesman problem which is solved to obtain the shortest continuous toolpath per layer.
Journal ArticleDOI
Articulated mechanism design with a degree of freedom constraint
TL;DR: In this article, a truss-based ground-structure representation is used for the design of an articulated mechanism using a relaxed formulation of an original integer problem and also involves developments directed at handling the redundancy inherent in the ground structure representation.
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.
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.