Sequential integer programming methods for stress constrained topology optimization

By Krister Svanberg, Mats Werme. 2007

105 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/b9099b296dddbc816c7e3590b9282e12399f4440

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. Ole Sigmund
2. Ramana V. Grandhi
3. Joshua D. Deaton
4. Martin P. Bendsøe
5. Chau H. Le
6. Michael Y. Wang
7. H. Svärd
8. G. Rozvany

In Computational Theory and Mathematics

1. G. Rozvany
2. Niels Aage
3. Krishnan Suresh
4. Ole Sigmund
5. Chau H. Le
6. Daniel A. Tortorelli
7. Matteo Bruggi
8. Kai A. James

In Mechanics of Materials

1. Ole Sigmund
2. Chau H. Le
3. G. Rozvany
4. Niels Aage
5. Zhan Kang
6. Ramana V. Grandhi
7. Joshua D. Deaton
8. Michael Y. Wang

Citations in the corpus

• Stress-based topology optimization for continua (2010, background): “constraints Svanberg and Werme (2007) (f) Not evident”
• Failure Mitigation in Optimal Topology Design Using a Coupled Nonlinear Continuum Damage Model (2014, background): “The L-Bracket Problem The L-bracket structure appears frequently as an illustrative benchmark problem in topology optimization studies involving stress-based material failure constraints [42, 43, 44, 45, 46].”
• A critical review of established methods of structural topology optimization (2009, background): “The results for their benchmark problem (L-shaped domain) are consistent with other papers by these authors (Svanberg and Werme 2005, 2006b, 2007; Werme 2006) and have also been confirmed by comparison with exact analytical solutions by Lewinski and Rozvany (2008a).”
• Topology optimization for minimum weight with compliance and stress constraints (2012, background): “Swan and Arora (1997). An extensive literature production refers to the field of truss design, since the original contributions in Dorn et al.”
• Multi-material topology optimization with strength constraints (2011, methodology): “Some of these problems have been studied as benchmark problems in the topology optimization literature (Duysinx and Bendsoe 1998; Svanberg and Werme 2007 ; K oy cvara and Stingl 2007).”
• Combined shape and topology optimization for minimization of maximal von Mises stress (2017, background): “Furthermore, a maximum von Mises stress constraint has been enforced in topology optimization problems (e.g. Duysinx and Sigmund (1998); Svanberg and Werme (2007); Bruggi and Venini (2008); Le et al (2010); Cheng and Jiang (1992); Allaire and Jouve (2008); Allaire et al (2011, 2014); Ha and Cho…”