Exact analytical solutions for some popular benchmark problems in topology optimization II: three-sided polygonal supports

By T. Lewiński, G. Rozvany. 2007

56 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7c349caa8f426aa38d3cd4b79df1e4884a28f0c8

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. Matthew Gilbert
2. G. Rozvany
3. Michael Y. Wang
4. Krishnan Suresh
5. Martin P. Bendsøe
6. Yoshihiro Kanno
7. Glaucio H. Paulino
8. Roman Stainko

In Computational Theory and Mathematics

1. Matthew Gilbert
2. G. Rozvany
3. A. Tyas
4. Krishnan Suresh
5. Martin P. Bendsøe
6. Yoshihiro Kanno

In Mechanics of Materials

1. Matthew Gilbert
2. G. Rozvany
3. A. Tyas
4. Michael Y. Wang
5. Glaucio H. Paulino
6. Shengyin Wang
7. Qi Xia
8. C. Le

Citations in the corpus

• Optimum structure to carry a uniform load between pinned supports (2010, background): “…finding such structures remains challenging, with only a handful of analytical solutions constructed over the course of the last century (e.g. Chan 1962, 1963; Hemp 1973; Rozvany & Gollub 1990; Rozvany et al. 1997; Graczykowski & Lewiński 2006a,b, 2007a,b, Lewiński & Rozvany 2007; 2008a,b).”
• A critical review of established methods of structural topology optimization (2009, methodology): “A number of papers deal with extensions of this theory, the most recent ones discussing exact solutions of popular benchmark problems (e.g., Lewinski and Rozvany 2007, 2008a and b).”