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Frontiers of Structural and Civil Engineering

, Volume 9, Issue 4, pp 341–358 | Cite as

An extended cell-based smoothed discrete shear gap method (XCS-FEM-DSG3) for free vibration analysis of cracked Reissner-Mindlin shells

  • M. H. Nguyen-Thoi
  • L. Le-Anh
  • V. Ho-Huu
  • H. Dang-Trung
  • T. Nguyen-ThoiEmail author
Research Article

Abstract

A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) was recently proposed and proven to be robust for free vibration analyses of Reissner-Mindlin shell. The method improves significantly the accuracy of the solution due to softening effect of the cell-based strain smoothing technique. In addition, due to using only three-node triangular elements generated automatically, the CS-FEM-DSG3 can be applied flexibly for arbitrary complicated geometric domains. However so far, the CS-FEM-DSG3 has been only developed for analyzing intact structures without possessing internal cracks. The paper hence tries to extend the CS-FEM-DSG3 for free vibration analysis of cracked Reissner-Mindlin shells by integrating the original CS-FEM-DSG3 with discontinuous and crack–tip singular enrichment functions of the extended finite element method (XFEM) to give a so-called extended cell-based smoothed discrete shear gap method (XCS-FEM-DSG3). The accuracy and reliability of the novel XCS-FEM-DSG3 for free vibration analysis of cracked Reissner-Mindlin shells are investigated through solving three numerical examples and comparing with commercial software ANSYS.

Keywords

cracked Reissner-Mindlin shell free vibration analysis cell-based smoothed discrete shear gap method (CS-FEM-DSG3) extended cell-based smoothed discrete shear gap method (XCS-FEM-DSG3) smoothed finite element methods (SFEM) 

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Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • M. H. Nguyen-Thoi
    • 1
    • 2
  • L. Le-Anh
    • 1
    • 2
  • V. Ho-Huu
    • 1
    • 2
  • H. Dang-Trung
    • 1
    • 2
  • T. Nguyen-Thoi
    • 1
    • 2
    Email author
  1. 1.Division of Computational Mathematics and Engineering (CME), Institute for Computational Science (INCOS)Ton Duc Thang UniversityHochiminh cityVietnam
  2. 2.Faculty of Civil EngineeringTon Duc Thang UniversityHochiminh cityVietnam

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