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

    68 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

    Bibliographical note

    Publisher Copyright:
    © 2014 Elsevier Ltd.

    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

    • General Materials Science
    • Condensed Matter Physics
    • Mechanical Engineering
    • Applied Mathematics

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