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

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Abstract

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.

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Acknowledgments

This research was supported by the EDISON Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (No. 2014M3C1A6038854).

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Authors and Affiliations

  1. Department of Mechanical and Automotive Engineering, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul, 139-743, South Korea

    Son Nguyen-Hoang & Hyun-Gyu Kim

  2. Department of Mechanical Construction and Production, Faculty of Engineering and Architecture, Ghent University, Technologiepark Zwijnaarde 903, Zwijnaarde, 9052, Ghent, Belgium

    Phuc Phung-Van

  3. Department of Mechanical Engineering, Indian Institute of Technology-Madras, Chennai, 600036, India

    Sundararajan Natarajan

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  1. Son Nguyen-Hoang
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  2. Phuc Phung-Van
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  3. Sundararajan Natarajan
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  4. Hyun-Gyu Kim
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Correspondence to Hyun-Gyu Kim.

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Nguyen-Hoang, S., Phung-Van, P., Natarajan, S. et al. A combined scheme of edge-based and node-based smoothed finite element methods for Reissner–Mindlin flat shells. Engineering with Computers 32, 267–284 (2016). https://doi.org/10.1007/s00366-015-0416-z

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  • DOI: https://doi.org/10.1007/s00366-015-0416-z

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