Structural Shape and Topology Optimization Using an Implicit Free Boundary Parametrization Method

By Shengyin Wang, Michael Y. Wang. 2006

64 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9432b46b31b516920c65a0fdab089c640d238ab6

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. Zhan Kang
2. Zhen Luo
3. Yingjun Wang
4. Ramana V. Grandhi
5. Joshua D. Deaton
6. Michael Y. Wang
7. Liyong Tong
8. David J. Benson

In Computational Mechanics

1. Yingjun Wang
2. Zhen Luo
3. Zhan Kang
4. David J. Benson
5. Peng Wei
6. Ramana V. Grandhi
7. Joshua D. Deaton
8. Liyong Tong

In Mechanics of Materials

1. Yingjun Wang
2. Zhan Kang
3. Zhen Luo
4. David J. Benson
5. Liyong Tong
6. Michael Y. Wang
7. Ramana V. Grandhi
8. Joshua D. Deaton

Citations in the corpus

• Medical image registration: a review (2014, unknown): “;) and level set methods (Wang and Wang 2006; Wang et al. 2007; Han et al. 2009).”
• A level set‐based parameterization method for structural shape and topology optimization (2008, methodology): “It is a time-consuming process to make the numerical implementation meaningful [40].”
• A level set method for structural shape and topology optimization using radial basis functions (2009, methodology): “Among these level set methods, an alternative level-set topology optimization method [27,28] was proposed by using the multiquadric and inverse multiquadric splines functions based on [25,32].”
• A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “…been explored that convert the Hamilton-Jacobi PDE into a simpler set of ordinary differential equations (ODEs) using radial basis functions (RBFs) (Wang and Wang 2006a, b, Wang et al. 2007b) or system of algebraic equations using compactly supported RBFs (CSRBFs) (Luo et al. 2007, 2008c, 2009a).”
• An 88-line MATLAB code for the parameterized level set method based topology optimization using radial basis functions (2018, methodology): “The present 88-line MATLAB code can be used to implement the parameterized level set topology optimization method by using RBFs, which was first developed by (Wang and Wang 2006a; Wang et al. 2007) and was also called the WW approach in (Gain and Paulino 2013).”
• Isogeometric analysis for parameterized LSM-based structural topology optimization (2016, methodology): “A simple scheme to calculate the Lagrangemultiplier is the bisectionmethod, which has been successfully used in both the SIMP TO [11,58] and the LSM-based TO [39,66].”