A nodal variable method of structural topology optimization based on Shepard interpolant

81 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

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…”
Integrated topology optimization with embedded movable holes based on combined description by material density and level sets (2013, methodology): “Kang and Wang [28] presented a new density field interpolation scheme based on the Shepard interpolants in a strict sense, which allows for use of higher-order finite elements.”
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, background): “Since the work of [26], nodal design variable-based methods have attracted much attention [27–30].”