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 of fail-safe structures using a simplified local damage model
TL;DR: In this paper, the authors address local failure of continuum structures in topology optimization in order to design fail-safe structures which remain operable in a damaged state by removing material stiffness in patches with a fixed shape.
Journal ArticleDOI
Topology optimization under uncertainty via non-intrusive polynomial chaos expansion
TL;DR: In this article, the authors present a systematic approach for topology optimization under uncertainty that integrates non-intrusive polynomial chaos expansion with design sensitivity analysis for reliability-based and robust topological optimization.
Journal ArticleDOI
A unified aggregation and relaxation approach for stress-constrained topology optimization
TL;DR: A unified aggregation and relaxation approach for topology optimization with stress constraints is proposed, which concurrently aggregates the constraints and relaxes the feasible domain, thereby making singular optima accessible.
Journal ArticleDOI
Stress-constrained topology optimization for compliant mechanism design
TL;DR: In this paper, a stress-constrained topology optimization approach for compliant mechanism design is presented, where the maximum stress is approximated using a normalized version of the commonly-used p-norm of the effective von Mises stresses.
Journal ArticleDOI
Topology optimization for synthesis of contact-aided compliant mechanisms using regularized contact modeling
TL;DR: In this paper, a topology optimization technique for systematically designing contact-aided compliant mechanisms (CCM) is presented, which uses a smooth approximation of the unilateral displacement constraints that are used to model contact interactions.
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.
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.