Topology optimization of continuum structures: A review*

By H. Eschenauer, N. Olhoff. 2001

1,196 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/7a7fea4e731e0ad99ec57fc2832ebf06fedb0c90

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Citations in the corpus

Topology-optimization of Structures Based on the MLPG Mixed Collocation Method (2008, background): “The topology-optimization problem is an illposed problem, with a lack of proof existence of solutions, since it often results in a complex material distribution [Eschenauer and Olhoff(2001)].”
Topology optimization using a Topology Description function (2004, background): “microstructures. The interested reader is referred to the review paper of Eschenauer and Olhoff (2001) .”
Support structure constrained topology optimization for additive manufacturing (2016, background): “Topology optimization (TO) represents a class of computational methods for designing lightweight, high-performance structures [1], [2], [3].”
Non-probabilistic reliability-based topology optimization with multidimensional parallelepiped convex model (2017, methodology): “Many methods have been developed for topology optimization, which can be roughly divided into two types: topology optimization methods for discrete structures (Sokół 2011; Zegard and Paulino 2014; Zegard and Paulino 2015) and topology optimization methods for continuum structures (Eschenauer and Olh”
Modelling topology optimization problems as linear mixed 0–1 programs (2003, background): “For an overview of topology optimization, see e.g. BendsHe [38], Rozvany, BendsHe and Kirsch [39], Sigmund and Petersson [40], and Eschenauer and Olho [41].”
Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models (2009, unknown): “The interested readers are referred to review papers by Rozvany [9], Eschenauer and Olhoff [10] and the references therein.”
Topological optimization of structures subject to Von Mises stress constraints (2010, methodology): “For a survey on topology optimization methods, the reader may refer to the review paper [17], or to the monographs [2, 11, 23].”
Evolutionary level set method for structural topology optimization (2011, background): “In the last two decades, topology optimization has been becoming increasingly popular in industrial applications [4] [5] [6].”
Topology optimization of continuum structures with different tensile and compressive properties in bridge layout design (2011, background): “A large quantity of successful applications of not only these but also other models in topology design has been reported in recent books and review articles, see, e.g., Rozvany et al. (1995), Cherkaev (2002), Rozvany and Olhoff (1999), Eschenauer and Olhoff (2001) and Bendsoe and Sigmund (2003).”