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
Cut topology optimization for linear elasticity with coupling to parametric nondesign domain regions
TL;DR: In this paper, a density-based topology optimization method for linear elasticity based on the cut finite element method was developed, where the design domain is discretized using cut finite elements.
Journal ArticleDOI
Eigenfrequency constrained topology optimization of finite strain hyperelastic structures
TL;DR: In this paper, a topology optimization problem is formulated by filtering the volume fraction field, and the optimization objective is to maximize stiffness subject to a lower bound on the fundamental eigenfrequency.
Journal ArticleDOI
On the implementation and effectiveness of morphological close-open and open-close filters for topology optimization
Mattias Schevenels,Ole Sigmund +1 more
TL;DR: In this article, the morphological close-open and open-close filters for topology optimization were reconsidered and it was shown that the computational cost is much lower if the sensitivity analysis for each erosion or dilation step is performed sequentially.
Journal ArticleDOI
Structural topology optimization with an adaptive design domain
TL;DR: In this paper , a subdomain-based method that performs topology optimization in an adaptive design domain (ADD) is proposed, where the loading and boundary conditions can be easily changed in concert with the evolution of the design space.
Journal ArticleDOI
Combined length scale and overhang angle control in minimum compliance topology optimization for additive manufacturing
TL;DR: It is shown that both constraints cannot simultaneously be met by a straightforward coupling of existing methods for length scale and overhang angle control, and a new filtering scheme is introduced, based on a specific combination of spatial filters, which allows direct control over these constraints in a minimum compliance topology optimization problem.
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.
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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.