A critical review of established methods of structural topology optimization

By G. Rozvany. 2009

1,148 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/48646e621d6c4c4173b9f64ae0e3f504392c75d4

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

Stress-constrained topology optimization: a topological level-set approach (2013, background): “…Takalloozadeh Civil Engineering, Sharif University of Technology, Tehran, Iran problem, may be posed as Eschenauer and Olhoff (2001) and Rozvany (2009): Min ⊂D J | | ≤ v0 in subject to Ku = f (1.1) where: u : Finite element displacement field K : Finite element stiffness matrix f :…”
Self-supporting structure design in additive manufacturing through explicit topology optimization (2017, background): “On the other hand, topology optimization, which aims at designing innovative and lightweight products by distributing material within a prescribed domain in an optimal way, has reached a certain level of maturity and becomes a well-established research area [1-3].”
A general formulation of structural topology optimization for maximizing structural stiffness (2011, background): “However, with the penalization in SIMP model, even the originally convex problem (e.g. minimization of compliance for given material volume) becomes non-convex, and therefore, it is theoretically possible to converge to a local optimum (Sigmund and Petersson 1998; Rozvany 2009).”
Topology optimization of fail-safe structures using a simplified local damage model (2014, background): “7 Rozvany (2009) beam example where the deformation energy is not able to predict the importance of a structural element”
Explicit three dimensional topology optimization via Moving Morphable Void (MMV) approach (2017, methodology): “We refer the readers to [5-8] and the references therein for a state-of-the-art reviews of the recent developments in topology optimization.”
General topology optimization method with continuous and discrete orientation design using isoparametric projection (2015, background): “The typical example is the famous Michell’s truss problem [43].”