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
Efficient computation of states and sensitivities for compound structural optimisation problems using a Linear Dependency Aware Solver (LDAS)
TL;DR: In this article , a linear dependency aware solver (LDAS) is proposed to detect linear dependencies between all loads and obtain the exact solution while avoiding unnecessary solves entirely and automatically.
Journal ArticleDOI
Reliability-based topology optimization using the response surface method for stress-constrained problems considering load uncertainty
Xuan Wang,Kai Long +1 more
Book ChapterDOI
Towards topology optimization of pressure-driven soft robots
TL;DR: In this article , a density-based topology optimization approach is proposed to design soft robots while considering the design-dependent behavior of the actuating loads, and a robust topology formulation is used with the multi-criteria objective.
Proceedings ArticleDOI
Topology Optimization of Thermoelastic Structures using Stress-based Design Criteria
TL;DR: This paper presents a method for the topology optimization of structures with combined mechanical and thermoelastic loads that are subject to stress constraints and presents the necessary steps needed to address both the design-dependent thermal loads and accommodate the challenges of stress-based design criteria.
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.