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

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

Research output: Contribution to journalArticle

38 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 Jan 1
Externally publishedYes

Fingerprint

Mindlin plates
Vibration Analysis
free vibration
Free Vibration
Vibration analysis
shear
Cell
cells
Extended Finite Element Method
Triangular Element
crack tips
Crack Tip
Crack tips
finite element method
Finite element method
Numerical Examples
vibration

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

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

Cite this

Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3). / Nguyen-Thoi, T.; Rabczuk, Timon; Lam-Phat, T.; Ho-Huu, V.; Phung-Van, P.

In: Theoretical and Applied Fracture Mechanics, Vol. 72, No. 1, 01.01.2014, p. 150-163.

Research output: Contribution to journalArticle

Nguyen-Thoi, T. ; Rabczuk, Timon ; Lam-Phat, T. ; Ho-Huu, V. ; Phung-Van, P. / Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3). In: Theoretical and Applied Fracture Mechanics. 2014 ; Vol. 72, No. 1. pp. 150-163.
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