Topology optimization with design-dependent loads

By Bingyang Chen, Noboru Kikuchi. 2001

158 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/f3bca97e48ed15391445c4fe14e60e6291ea0263

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

1. Ramana V. Grandhi
2. Joshua D. Deaton
3. Kurt Maute
4. Ole Sigmund
5. G. Rozvany
6. Weihong Zhang
7. T. Gao
8. N. Olhoff

In Mechanics of Materials

1. Ramana V. Grandhi
2. Joshua D. Deaton
3. G. Rozvany
4. Kurt Maute
5. Weihong Zhang
6. T. Gao
7. Ole Sigmund
8. N. Olhoff

Citations in the corpus

• Topology optimization approaches (2013, methodology): “Instead, density approaches have used ad-hoc solutions to solve e.g. pressure load problems (e.g. Hammer and Olhoff 2000; Chen and Kikuchi 2001; Bourdin and Chambolle 2003; Du and Olhoff 2004a, b; Fuchs and Shemesh 2004) or have been based on monolithic formulations for solving multiphysics…”
• A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “Chen and Kikuchi (2001) simulated pressure loading by approximating it as an equivalent thermal load that is penalized with the design and a “dryness coefficient” to identify fluid vs. solid regions.”
• Conceptual design of aeroelastic structures by topology optimization (2004, unknown): “Of relevance to the problem of optimizing the layout of flexible aeroelastic structures are the studies on topology optimization with design dependent loads by Hammer and Olhoff (2000) and Chen and Kikuchi (2001) .”
• Stress-constrained topology optimization with design-dependent loading (2012, unknown): “Many different methods have been proposed, including simulating the pressure loading with a fictitious thermal loading (Chen and Kikuchi 2001) and applying a fictitious electric field (Zheng et al. 2009).”
• Topological optimization of continuum structures with design-dependent surface loading – Part II: algorithm and examples for 3D problems (2004, background): “However, recently, another class of design problem was studied by Hammer and Olhoff (1999, 2000), and also by Chen and Kikuchi (2001) and Bourdin and Chambolle (2001), where the loading surface is allowed to change as the structural topology changes, and the directions and positions of loads may c”
• Topology optimization of continuum structures subjected to pressure loading (2000, background): “However, although being very common, the class of problems where applied surface loads on a continuum structure depend on the design of the structure itself in terms of both location and direction, seems to be considered for the first time in the present paper (see also Hammer and Olhoff 2000).”
• Topology optimization involving thermo-elastic stress loads (2010, background): “For instance, Chen and Kikuchi (2001 ) s imulated the hydrostatic pressure as the thermal expansion effect along the two-phase material interface.”
• A critical review of established methods of structural topology optimization (2009, background): “Olhoff has also been extremely active in applying SIMP to reliability-based problems (Kharmanda and Olhoff 2004), vibrating continua (Olhoff and Du 2006; Du and Olhoff 2007a and b), and design-dependent loads (Hammer and Olhoff 1999, 2000; Du and Olhoff 2004a and b).”
• A new boundary search scheme for topology optimization of continuum structures with design-dependent loads (2008, background): “The optimal structure is very similar to the result in the work of Chen and Kikuchi (2001) .”