Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3)

T. Nguyen-Thoi, T. Rabczuk, T. Lam-Phat, V. Ho-Huu, P. Phung-Van

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)

Abstract

A cell-based smoothed discrete shear gap method (CS-DSG3) using triangular elements was recently proposed for static and free vibration analyses of Mindlin plates. In this paper, the CS-DSG3 is extended for free vibration analysis of cracked Mindlin plates by integrating the original CS-DSG3 with discontinuous and crack-tip singular enriched functions of the extended finite element method (XFEM) to give a so-called extended cell-based smoothed discrete shear gap method (XCS-DSG3). Three numerical examples are considered to illustrate the reliability and accuracy of the XCS-DSG3 for the free vibration analysis of cracked Mindlin plates.

Original languageEnglish
Pages (from-to)150-163
Number of pages14
JournalTheoretical and Applied Fracture Mechanics
Volume72
Issue number1
DOIs
Publication statusPublished - 2014

Keywords

  • Cell-based smoothed discrete shear gap method (CS-DSG3)
  • Cracked Mindlin plate
  • Extended finite element method (XFEM)
  • Free vibration analysis
  • Smoothed finite element method (S-FEM)

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

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