Level-set methods for structural topology optimization: a review
By Nico P. van Dijk, Kurt Maute, Matthijs Langelaar, Fred van Keulen. 2013
1,014 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/ef10643103c2ff64badfca08b866d966a82b0594
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
- Ramana V. Grandhi
- Joshua D. Deaton
- Ole Sigmund
- Liang Xia
- Yingjun Wang
- Kurt Maute
- Krishnan Suresh
- Xiaodong Huang
In Computational Theory and Mathematics
- Ramana V. Grandhi
- Joshua D. Deaton
- Ole Sigmund
- Liang Xia
- Fengwen Wang
- Zhan Kang
- Krishnan Suresh
- Kurt Maute
In Mechanics of Materials
- Ramana V. Grandhi
- Joshua D. Deaton
- Yingjun Wang
- Liang Xia
- Fengwen Wang
- Xiaodong Huang
- Qiuling Xia
- Ole Sigmund
Citations in the corpus
- Current and future trends in topology optimization for additive manufacturing (2018, methodology): “Topology optimization, as a structural design method, has experienced rapid development in the past few decades, and dedicated reviews can be found in (Rozvany 2009; Sigmund andMaute 2013; van Dijk et al. 2013).”
- Level set topology optimization of structural problems with interface cohesion (2017, background): “For more information and a review of recent developments of LSMs, the reader is referred to [12].”
- Optimisation of functionally graded lattice structures using isostatic lines (2017, methodology): “Various topology optimisation approaches have been developed over recent years [19, 20, 21, 22] including density-based, hard kill, level-set [23] and bio-inspired methods such as genetic algorithms.”
- Introducing the sequential linear programming level-set method for topology optimization (2015, methodology): “This is known as the natural velocity extension method (Osher and Santosa 2001; van Dijk et al. 2013).”
- Topology optimization using a continuous density field and adaptive mesh refinement (2018, background): “The final set of filtered densities is given by ?̄? = CHK H Tρ, (11) where CH represents the influence of the analysis mesh hanging node constraints.”