Structural topology optimization based on non-local Shepard interpolation of density field

By Zhan Kang, Yiqiang Wang. 2011

166 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/9224c60a0747d7214684fbdb200ce8d2115b59e0

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. Yiqiang Wang
3. Zhen Luo
4. Nong Zhang
5. Qizhi He
6. Jikai Liu
7. Akihiro Takezawa
8. Haitao Ma

In Computational Theory and Mathematics

1. Zhan Kang
2. Yiqiang Wang
3. Nong Zhang
4. Qizhi He
5. Zhen Luo
6. Jikai Liu
7. Haitao Ma
8. Xingjun Gao

In Mechanics of Materials

1. Zhan Kang
2. Yiqiang Wang
3. Qizhi He
4. Zhen Luo
5. Jikai Liu
6. Nong Zhang
7. Haitao Ma
8. Xingjun Gao

Citations in the corpus

• A multi-material level set-based topology and shape optimization method (2015, background): “Different topology optimization approaches have been proposed over the past two decades [3–11], and recent development of topology optimization can be found in review papers [12–14].”
• Topology optimization of structures using meshless density variable approximants (2013, background): “DOI: 10.1002/nme.4394 Topology optimization of structures using meshless density variable approximants Zhen Luo1,*,†, Nong Zhang1, Yu Wang1 and Wei Gao2 1School of Electrical, Mechanical and Mechatronic Engineering, University of Technology, Sydney, NSW 2007, Australia 2School of Civil and Environme”
• Adaptive topology optimization with independent error control for separated displacement and density fields (2014, methodology): “[25].”
• Current and future trends in topology optimization for additive manufacturing (2018, background): “…through, for example, adding auxiliary density fields in a rotated coordinate system and build the connection through density field projection (Kang and Wang 2012, 2011). ii) Even though 2.5D post-machining has its advantages in cost and efficiency (Liu and Ma 2015; Liu and To 2016), the…”
• Topology optimization of continuum structures under buckling constraints (2015, methodology): “It is noted that Kang and Wang [25] have presented a more general density interpolation strategy for topology optimization using nodal design variables and Shepard interpolation.”
• Integrated topology optimization with embedded movable holes based on combined description by material density and level sets (2013, methodology): “To this end, a range-restricted density interpolation scheme, the so-called non-local Shepard interpolation [29] is employed.”