Shape and topology optimization of the robust compliance via the level set method
By Frédéric de Gournay, Grégoire Allaire, François Jouve. 2008
121 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Computational Mechanics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/b55ce068822c3664f96041ed802fde2aa23088f9
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
- Mattias Schevenels
- Ramana V. Grandhi
- Joshua D. Deaton
- Boyan S. Lazarov
- Luca Dede'
- Fengwen Wang
- Anders Clausen
In Computational Mechanics
- Luca Dede'
- Michael J. Borden
- Thomas J. R. Hughes
- Ramana V. Grandhi
- Ole Sigmund
- Mattias Schevenels
- Boyan S. Lazarov
- Joshua D. Deaton
In Statistics and Probability
- Ramana V. Grandhi
- Joshua D. Deaton
- Mattias Schevenels
- Ole Sigmund
- Thomas J. R. Hughes
- Luca Dede'
- Boyan S. Lazarov
- Michael J. Borden
Citations in the corpus
- Robust topology optimization accounting for spatially varying manufacturing errors (2011, methodology): “[10] use the level set method for the design of robust structures with minimum compliance considering uncertain loads.”
- A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “For example, de Gournay et al. (2008) developed a robust compliance minimization using level set topology to identify a set of worst case loading perturbations and perform optimization.”
- Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, methodology): “In the level set approach [5, 35] ρ0 is chosen as a 0–1 distribution of material with holes such that the area/volume constraints is satisfied; the initial number of holes affects the number 4This choice allows a proper balance between the strain energy function ψE and the bulk and interface energie”