A level set method for structural topology optimization

By Michael Y. Wang, Xiaoming Wang, D. Guo. 2003

3,203 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/7d23f522cf17ac3de97d6f16fa8f616d716fb383

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. Michael Y. Wang
5. Kurt Maute
6. Zhan Kang
7. Zhen Luo
8. Yiqiang Wang

In Computational Mechanics

1. Yingjun Wang
2. Michael Y. Wang
3. David J. Benson
4. Zhen Luo
5. Ole Sigmund
6. Ramana V. Grandhi
7. Joshua D. Deaton
8. Xiaoping Qian

In Computer Graphics and Computer-Aided Design

1. Michael Y. Wang
2. Zhen Luo
3. Krishnan Suresh
4. Shengyin Wang
5. Zhan Kang
6. Amir M. Mirzendehdel
7. Grégoire Allaire
8. Peng Wei

Citations in the corpus

• A geometric projection method for designing three‐dimensional open lattices with inverse homogenization (2017, neutral): “dq(x q , x ( f ) q , p) = {||b||, a · b ⩽ 0 ||g||, 0 < a · b ⩽ a · a ||e||, a · b > a · a , (3)”
• Additive manufacturing-enabled design theory and methodology: a critical review (2015, methodology): “Typical topology optimization methods include ground structure method [79, 80], homogenization method [81], solid isotropic material with penalization (SIMP)method [82], level set method [83, 84], evolutionary method [85, 86], and genetic method [87, 88].”
• Level-set method for design of multi-phase elastic and thermoelastic materials (2004, methodology): “The level-set computation is by now a classical tool and there are sufficient numerical experiences in the literature for obtaining an approximate solution such as the algorithms used in Osher and Fedkiw (2003), Wang et al. (2003, 2004) , Allaire et al. (2004) and Wang and Wang Level-set method for”
• Structural shape and topology optimization using a meshless Galerkin level set method (2012, methodology): “In most conventional level set methods [6, 7], the motion of the discrete level set function is governed by a process of solving the Hamilton–Jacobi PDEs on a fixed Eulerian rectilinear grids, and the velocity field in the Equation (2) is generally determined using the shape derivative analysis [40,”
• Topology Optimization (2009, methodology): “optimization [7], and topological derivatives [8] among others.”