Topology optimization considering material and geometric uncertainties using stochastic collocation methods
By Boyan S. Lazarov, Mattias Schevenels, Ole Sigmund. 2012
141 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/ba8d94ccdc16d458c213ac92bb970dcb33f9b1ed
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
- Ole Sigmund
- Ramana V. Grandhi
- Joshua D. Deaton
- Fengwen Wang
- Boyan S. Lazarov
- Mattias Schevenels
- Kurt Maute
- Geert Lombaert
In Computational Theory and Mathematics
- Ole Sigmund
- Ramana V. Grandhi
- Joshua D. Deaton
- Fengwen Wang
- Boyan S. Lazarov
- Zhan Kang
- Mattias Schevenels
- Kurt Maute
In Statistics and Probability
- Ramana V. Grandhi
- Joshua D. Deaton
- M. Zhou
- Raphael Fleury
- Miche Jansen
- Geert Lombaert
- Ole Sigmund
- Akihiro Takezawa
Citations in the corpus
- Fail-safe topology optimization (2016, background): “…papers for further reading: Maute and Frangopol (2003), Kharmanda et al (2004), Jung and Cho (2004), Guest and Igusa (2008), Silva et al (2010), Chen et al (2010), Chen and Chen (2011), Lazarov et al (2012), Nguyen et al (2011), Rozvany and Maute (2011), Tootkaboni et al (2012), Wang et al (2006).”
- Current and future trends in topology optimization for additive manufacturing (2018, methodology): “[237] Lazarov BS, Schevenels M, Sigmund O.”
- Length scale and manufacturability in density-based topology optimization (2016, background): “An additional study including spatially varying uncertainties in the material parameters is presented in [91].”
- A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “…engineering parameters using density-methods have been studied including loading (Guest and Igusa 2008; Lógó et al. 2009), manufacturing errors (Sigmund 2009; Wang et al. 2011c; Schevenels et al. 2011; Qian and Sigmund 2013), and material properties (Tootkaboni et al. 2012; Lazarov et al. 2012).”
- Robust topology optimization of structures with imperfect geometry based on geometric nonlinear analysis (2015, methodology): “For example, numerical quadrature methods [7, 47] or simulation methods (e.”
- Topology optimization approaches (2013, background): “…robustness to under- and overetching (Wang et al. 2011; Sigmund 2009) (which ensures minimum length-scale of both phases if the topology remains the same during under- or over-etching) as well as robustness with respect to random shape variations (Schevenels et al. 2011; Lazarov et al. 2012a, b).”