Topology design optimization of geometrically non-linear structures using meshfree method

By Seonho Cho, Juho Kwak. 2006

84 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d2cc1a7398a161daf4d9368af5a868791432b612

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. Wei Gao
7. Yu Wang
8. Chao Jiang

In Mechanics of Materials

1. Zhan Kang
2. Yiqiang Wang
3. Qizhi He
4. Zhen Luo
5. Nong Zhang
6. Yu Wang
7. Wei Gao
8. Peter Gangl

Citations in the corpus

• Topology optimization of structures using meshless density variable approximants (2013, methodology): “One of the more common techniques is the meshless Galerkin method with weak-forms, which has received great popularity in a range of areas, including topology optimization of structures [31–33].”
• Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models (2009, unknown): “[15], Cho and Kwak [16] and Yoon et al.”
• Structural topology optimization based on non-local Shepard interpolation of density field (2011, methodology): “Cho and Kwak [40] discretized both the displacement and density fields by the reproducing kernel shape function and developed a meshfree topology optimization method for geometrically non-linear structures.”
• Adaptive topology optimization with independent error control for separated displacement and density fields (2014, background): “As discussed by Cho and Kwak [33], a coarser analysis mesh but finer density point arrangement within a local region may give rise to numerical instabilities in the forms of checkerboard patterns or islanding phenomenon, due to the rank deficiency of the optimizationmodel.”
• A nodal variable method of structural topology optimization based on Shepard interpolant (2012, methodology): “Cho and Kwak [28] discretized both the displacement and density field by the reproducing kernel shape function and developed a mesh-free method for topology optimization of geometrically nonlinear structures.”