A combined scheme of edge-based and node-based smoothed finite element methods for Reissner–Mindlin flat shells

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• 作者：Son Nguyen-Hoang ; Phuc Phung-Van ; Sundararajan Natarajan…
• 关键词：Reissner–Mindlin flat shell ; Edge ; based smoothed finite element method (ES ; FEM) ; Node ; based smoothed finite element method (NS ; FEM) ; Strain smoothing technique
• 刊名：Engineering with Computers
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：32
• 期：2
• 页码：267-284
• 全文大小：3,676 KB
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• 作者单位：Son Nguyen-Hoang (1)
  Phuc Phung-Van (2)
  Sundararajan Natarajan (3)
  Hyun-Gyu Kim (1)
  
  1. Department of Mechanical and Automotive Engineering, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul, 139-743, South Korea
  2. Department of Mechanical Construction and Production, Faculty of Engineering and Architecture, Ghent University, Technologiepark Zwijnaarde 903, Zwijnaarde, 9052, Ghent, Belgium
  3. Department of Mechanical Engineering, Indian Institute of Technology-Madras, Chennai, 600036, India
  
• 刊物类别：Computer Science
• 刊物主题：Computer-Aided Engineering and Design
  Mathematical Applications in Chemistry
  Systems Theory and Control
  Calculus of Variations and Optimal Control
  Mechanics
  Applied Mathematics and Computational Methods of Engineering
  
• 出版者：Springer London
• ISSN：1435-5663

文摘

In this paper, a combined scheme of edge-based smoothed finite element method (ES-FEM) and node-based smoothed finite element method (NS-FEM) for triangular Reissner–Mindlin flat shells is developed to improve the accuracy of numerical results. The present method, named edge/node-based S-FEM (ENS-FEM), uses a gradient smoothing technique over smoothing domains based on a combination of ES-FEM and NS-FEM. A discrete shear gap technique is incorporated into ENS-FEM to avoid shear-locking phenomenon in Reissner–Mindlin flat shell elements. For all practical purpose, we propose an average combination (aENS-FEM) of ES-FEM and NS-FEM for shell structural problems. We compare numerical results obtained using aENS-FEM with other existing methods in the literature to show the effectiveness of the present method.