Topology optimization of continuum structures under uncertainty – A Polynomial Chaos approach

By M. Tootkaboni, Alireza Asadpoure, James K. Guest. 2012

179 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/aab29f4cd0a845098111f420e901622ddbc21bee

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. Fengwen Wang
3. Ramana V. Grandhi
4. Joshua D. Deaton
5. Boyan S. Lazarov
6. Mattias Schevenels
7. Mehdi Jalalpour
8. Geert Lombaert

In Computational Theory and Mathematics

1. Ole Sigmund
2. Fengwen Wang
3. Boyan S. Lazarov
4. Ramana V. Grandhi
5. Joshua D. Deaton
6. Mehdi Jalalpour
7. Mattias Schevenels
8. Geert Lombaert

In Statistics and Probability

1. Mehdi Jalalpour
2. Ramana V. Grandhi
3. Joshua D. Deaton
4. Ole Sigmund
5. Junpeng Zhao
6. M. Tootkaboni
7. Chun Jie Wang
8. M. Zhou

Citations in the corpus

• Robust Topology Optimization: Minimization of Expected and Variance of Compliance (2013, unknown): “Elastic modulus uncertainty has also been modeled in continuum structures using a polynomial chaos approach [31].”
• Length scale and manufacturability in density-based topology optimization (2016, methodology): “In topology optimization the method has been utilized in minimum compliance optimization under material uncertainties [138].”
• 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).”
• Reliability-based Topology Optimization of Trusses with Stochastic Stiffness (2013, background): “[36] use polynomial chaos to minimize the expected value and variability of stiffness under material property uncertainties.”
• Robust topology optimization accounting for misplacement of material (2012, methodology): “Several of these methods have already been applied successfully to robust topology optimization (Chen et al. 2010; Lazarov et al. 2011, 2012; Tootkaboni et al. 2012).”
• 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).”
• Robust topology optimization under loading uncertainty based on linear elastic theory and orthogonal diagonalization of symmetric matrices (2014, background): “Usually the design candidates are obtained under the assumed deterministic conditions, so they may become less efficient when considering various uncertainties in practical situations [2].”
• An efficient approach to reliability-based topology optimization for continua under material uncertainty (2015, methodology): “…research in this direction has focused on robust topology optimization (RTO) under uncertainty (Guest and Igusa 2008; Chen et al. 2010; Asadpoure et al. 2010, 2011; Jalalpour et al. 2011; Schevenels et al. 2011; Lazarov et al. 2012a, b; Tootkaboni et al. 2012; Jang et al. 2012; Jansen et al. 2013).”