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

(2016) ENGINEERING WITH COMPUTERS. 32(2). p.267-284
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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.
Keywords
Reissner–Mindlin flat shell Edge-based smoothed finite element method (ES-FEM), Strain smoothing technique, Node-based smoothed finite element method (NS-FEM), FREE-VIBRATION ANALYSES, GEOMETRICALLY NONLINEAR-ANALYSIS, SOLID MECHANICS PROBLEMS, MESHFREE THIN SHELL, TRIANGULAR ELEMENTS, PLATE ELEMENT, COMPOSITE PLATES, VISCOELASTIC FOUNDATION, DEFORMATION-THEORY, DYNAMIC-RESPONSE

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Chicago
Nguyen-Hoang, Son, Phuc Phung Van, Sundararajan Natarajan, and Kim Hyun‑Gyu. 2016. “A Combined Scheme of Edge-based and Node-based Smoothed Finite Element Methods for Reissner–Mindlin Flat Shells.” Engineering with Computers 32 (2): 267–284.
APA
Nguyen-Hoang, S., Phung Van, P., Natarajan, S., & Hyun‑Gyu, K. (2016). A combined scheme of edge-based and node-based smoothed finite element methods for Reissner–Mindlin flat shells. ENGINEERING WITH COMPUTERS, 32(2), 267–284.
Vancouver
1.
Nguyen-Hoang S, Phung Van P, Natarajan S, Hyun‑Gyu K. A combined scheme of edge-based and node-based smoothed finite element methods for Reissner–Mindlin flat shells. ENGINEERING WITH COMPUTERS. 2016;32(2):267–84.
MLA
Nguyen-Hoang, Son, Phuc Phung Van, Sundararajan Natarajan, et al. “A Combined Scheme of Edge-based and Node-based Smoothed Finite Element Methods for Reissner–Mindlin Flat Shells.” ENGINEERING WITH COMPUTERS 32.2 (2016): 267–284. Print.
@article{6935402,
  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.},
  author       = {Nguyen-Hoang, Son and Phung Van, Phuc and Natarajan, Sundararajan  and Hyun\unmatched{2011}Gyu, Kim},
  issn         = {0177-0667},
  journal      = {ENGINEERING WITH COMPUTERS},
  keyword      = {Reissner--Mindlin flat shell Edge-based smoothed finite element method (ES-FEM),Strain smoothing technique,Node-based smoothed finite element method (NS-FEM),FREE-VIBRATION ANALYSES,GEOMETRICALLY NONLINEAR-ANALYSIS,SOLID MECHANICS PROBLEMS,MESHFREE THIN SHELL,TRIANGULAR ELEMENTS,PLATE ELEMENT,COMPOSITE PLATES,VISCOELASTIC FOUNDATION,DEFORMATION-THEORY,DYNAMIC-RESPONSE},
  language     = {eng},
  number       = {2},
  pages        = {267--284},
  title        = {A combined scheme of edge-based and node-based smoothed finite element methods for Reissner--Mindlin flat shells},
  url          = {http://dx.doi.org/10.1007/s00366-015-0416-z},
  volume       = {32},
  year         = {2016},
}

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