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Mathematical Problems in Engineering
Volume 2013, Article ID 491626, 14 pages
http://dx.doi.org/10.1155/2013/491626
Research Article

Shape-Free Finite Element Method: Another Way between Mesh and Mesh-Free Methods

1Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, China
2High Performance Computing Center, School of Aerospace, Tsinghua University, Beijing 100084, China
3Key Laboratory of Applied Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, China

Received 25 June 2013; Accepted 18 July 2013

Academic Editor: Zhiqiang Hu

Copyright © 2013 Song Cen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [7 citations]

The following is the list of published articles that have cited the current article.

  • Ming-Jue Zhou, Song Cen, Yi Bao, and Chen-Feng Li, “Quasi-static Crack Propagation Simulation based on Shape-free Hybrid Stress-Function Finite Elements with Simple Remeshing,” Computer Methods in Applied Mechanics and Engineering, 2014. View at Publisher · View at Google Scholar
  • Song Cen, Pei-Lei Zhou, Chen-Feng Li, and Cheng-Jin Wu, “An unsymmetric 4-node, 8-DOF plane membrane element perfectly breaking through MacNeal's theorem,” International Journal For Numerical Methods In Engineering, vol. 103, no. 7, pp. 469–500, 2015. View at Publisher · View at Google Scholar
  • Song Cen, and Pei-Lei Zhou, “Analytical solutions in terms of the quadrilateral area coordinates for pure bending state and the finite element model overcoming the limitation of MacNeal's theorem,” Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, vol. 33, no. 4, pp. 462–468, 2016. View at Publisher · View at Google Scholar
  • Pei-Lei Zhou, Song Cen, Jun-Bin Huang, Chen-Feng Li, and Qun Zhang, “An unsymmetric 8-node hexahedral element with high distortion tolerance,” International Journal for Numerical Methods in Engineering, 2016. View at Publisher · View at Google Scholar
  • Song Cen, Yi Bao, and Chen-Feng Li, “Quasi-Static Crack Propagation Modeling Using Shape-Free Hybrid Stress-Function Elements with Drilling Degrees of Freedom,” International Journal of Computational Methods, vol. 13, no. 03, pp. 1650014, 2016. View at Publisher · View at Google Scholar
  • Yan Shang, Song Cen, and Chen-Feng Li, “A 4-node quadrilateral flat shell element formulated by the shape-free HDF plate and HSF membrane elements,” Engineering Computations, vol. 33, no. 3, pp. 713–741, 2016. View at Publisher · View at Google Scholar
  • Song Cen, Yan Shang, Pei-Lei Zhou, Ming-Jue Zhou, Yi Bao, Jun-Bin Huang, Cheng-Jin Wu, and Zhi Li, “Advances in shape-free finite element methods: A review,” Gongcheng Lixue/Engineering Mechanics, vol. 34, no. 3, pp. 1–14, 2017. View at Publisher · View at Google Scholar