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
Tunable phononic bandgap materials designed via topology optimization
TL;DR: In this article , a periodic media is considered, which due to the assumption of length scale separation, allows the dispersion relations to be obtained by analyzing a single unit cell subjected to Floquet-Bloch boundary conditions.
Journal ArticleDOI
An innovative design method for compliant mechanisms combining structural optimisations and designer creativity
TL;DR: In this article, an innovative, integrated design method for the design of practical and sophisticated compliant mechanisms is proposed, which consists of two optimisation methods, topology and shape optimisation, plus a scheme to implement designer input of ideas.
Journal ArticleDOI
Compliant Fluidic Control Structures: Concept and synthesis approach
TL;DR: The concept and synthesis approach for planar Compliant Fluidic Control Structures (CFCSs), monolithic flexible continua with embedded functional pores, is presented, envisioned to find application in biomedicine as tunable microfluidic devices for drug/nutrient delivery.
Posted Content
Design and analysis adaptivity in multi-resolution topology optimization.
TL;DR: This work proposes a dp‐adaptive MTO method, which involves locally increasing/decreasing the polynomial degree of the shape functions and the design resolution, and demonstrates the applicability on several 2D mechanical design problems.
Journal ArticleDOI
Topology optimization of multiple deformable bodies in contact with large deformations
Felipe Fernandez,Felipe Fernandez,Michael A. Puso,Jerome Solberg,Daniel A. Tortorelli,Daniel A. Tortorelli +5 more
TL;DR: Numerical example problems of multiple deformable three-dimensional bodies in contact with large deformations are presented and optimal topologies that maximize the total contact force, maximize the strain energy, and minimize the compliance are found.
References
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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.