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
On filter boundary conditions in topology optimization
Anders Clausen,Erik Andreassen +1 more
TL;DR: In this article, the authors define three requirements that boundary conditions must fulfill in order to eliminate boundary effects, and then a domain extension approach is proposed to remove boundary effects from the filters.
Journal ArticleDOI
Large deformations and stability in topology optimization
TL;DR: In this paper, the influence of geometrical nonlinearities on the structural behavior in the design process is discussed, and a geometrically modified structure including the imperfection shape is also introduced.
Journal ArticleDOI
Level set based topological shape optimization of geometrically nonlinear structures using unstructured mesh
Seung-Hyun Ha,Seonho Cho +1 more
TL;DR: Using hyperelastic materials and unstructured mesh, a level set based topological shape optimization method was developed for geometrically nonlinear structures in total Lagrangian framework as mentioned in this paper.
Journal ArticleDOI
Topology optimization of geometrically nonlinear structures based on an additive hyperelasticity technique
TL;DR: In this paper, a simple but effective additive hyperelasticity technique was proposed to circumvent numerical difficulties in solving the material density-based topology optimization of elastic structures undergoing large displacements.
Journal ArticleDOI
A novel fiber optimization method based on normal distribution function with continuously varying fiber path
TL;DR: In this article, the authors proposed a novel fiber orientation optimization method based on the optimized selection of discrete angles, commonly used to avoid the multiple local minima problem found in fiber oriented optimization methods that consider the fiber angle as the design variable.
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.