Element connectivity parameterization for topology optimization of geometrically nonlinear structures

By Gil Ho Yoon, Yoon Young Kim. 2005

174 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/8f1d28112c2265bd51ebc001c96c65b36273fd3e

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. Ramana V. Grandhi
2. Joshua D. Deaton
3. Ole Sigmund
4. Zhan Kang
5. Geert Lombaert
6. Miche Jansen
7. Mattias Schevenels
8. Krishnan Suresh

In Computational Theory and Mathematics

1. Ramana V. Grandhi
2. Joshua D. Deaton
3. Miche Jansen
4. Geert Lombaert
5. Zhan Kang
6. Mattias Schevenels
7. Krishnan Suresh
8. Ole Sigmund

In Control and Systems Engineering

1. Yoon Young Kim
2. Mattias Schevenels
3. Geert Lombaert
4. Miche Jansen
5. Zhan Kang
6. Lei Li
7. E. Simões
8. Krishnan Suresh

Citations in the corpus

• A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “Yoon and Kim (2005) suggested an element connectivity parameterization, where structural elements remain solid throughout optimization, but are connected by 1-”
• A level set method for shape and topology optimization of large‐displacement compliant mechanisms (2008, unknown): “For the material distribution method involving non-linear response, the convergence will sometimes experience difficulty [13, 48, 49], although some efforts have been made to remedy this [50, 51].”
• Robust topology optimization of structures with imperfect geometry based on geometric nonlinear analysis (2015, methodology): “Several strategies for solving this problem have been presented in the literature including modified material interpolation schemes [35], an element removal strategy [34] and the element connectivity parameterization method [36].”
• Towards the stabilization of the low density elements in topology optimization with large deformation (2013, methodology): “There are some papers that take in to account geometrical nonlinearities (GNL) [11,13,14,16,20,23–25,32,39,43].”
• Topology optimization of material‐nonlinear continuum structures by the element connectivity parameterization (2007, methodology): “ECP has been developed for the topology optimization of geometrically nonlinear structures having linear elastic materials in order to resolve the numerical instability caused by lowdensity elements [12].”