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 in B-spline space
TL;DR: In this paper, a tensor-product B-spline representation is used to represent the density field and the design space is restricted to the Bspline space without extraneous filtering or penalty.
Journal ArticleDOI
Design of materials with prescribed nonlinear properties
TL;DR: In this article, the authors systematically designed materials using topology optimization to achieve prescribed nonlinear properties under finite deformation, instead of a formal homogenization procedure, they proposed a numerical experiment to evaluate the material performance in longitudinal and transverse tensile tests.
Journal ArticleDOI
Topology optimization of microfluidic mixers
TL;DR: In this article, the mixing process is modeled as convection dominated transport in low Reynolds number incompressible flow and the mixer performance is maximized by altering the layout of flow/non-flow regions subject to a constraint on the pressure drop between inlet and outlet.
Journal ArticleDOI
Multiscale topology optimization using neural network surrogate models
TL;DR: Because the derivative of the surrogate model is important for sensitivity analysis of the macroscale topology optimization, a neural network training procedure based on the Sobolev norm is described, and an alternative method is developed to enable creation of void regions.
Journal ArticleDOI
A Q4/Q4 continuum structural topology optimization implementation
Salam Rahmatalla,Colby C. Swan +1 more
TL;DR: The authors conclude that the proposed node-based implementation is viable for continued usage in continuum topology optimization and immune to element-wise checkerboarding instabilities that are a concern with element-based design variables.
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.