On design-dependent constraints and singular topologies
By G. Rozvany. 2001
128 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/2b3c03c45ef5c82211ed455553125a8e96649052
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- Yoshihiro Kanno
- Martin P. Bendsøe
- Mathias Stolpe
- Ole Sigmund
- H. Svärd
- Krister Svanberg
- Matthijs Langelaar
- Alexander Verbart
In Computational Theory and Mathematics
- Martin P. Bendsøe
- Mathias Stolpe
- H. Svärd
- Ole Sigmund
- Krister Svanberg
- Alexander Verbart
- Fred van Keulen
- Yoshihiro Kanno
Citations in the corpus
- Damage approach: A new method for topology optimization with local stress constraints (2015, background): “Since this subset depends on the current design A , the stress-constrained problem is known as an optimization problem with ‘design-dependent constraints’ (Rozvany 2001), also called ‘vanishing constraints’ (Achtziger and Kanzow 2008).”
- Topology optimization of tensegrity structures under compliance constraint: a mixed integer linear programming approach (2013, methodology): “For topology optimization, the stress constraints should be removed for the members with vanishing cross-sectional areas (Rozvany 2001; Achtziger and Kanzow 2008; Guo and Cheng 2000) In other words, the topology is not optimized with the method presented in Bollapragada et al. (2001).”
- Modelling topology optimization problems as linear mixed 0–1 programs (2003, background): “It has been observed, especially in continuous truss topology optimization, that the feasible domain may be non-connected and may contain degenerate parts in which the global optimal solution may be located, so called singular topologies, see e.g. Kirsch [21], Rozvany and Birker [22], Rozvany [23], ”
- Interior value extrapolation: a new method for stress evaluation during topology optimization (2015, background): “It has been shown that stress constraints can lead to so called ”singular topologies” [2, 3], which require special considerations in formulating the problem.”
- Topology Optimization (2009, methodology): “For extensive studies of the main characteristics of singular optima we refer to [25, 31, 33].”