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

doi:10.1016/j.tafmec.2014.02.004

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

College of Engineering

Research output: Contribution to journal › Article › peer-review

64 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 language	English
Pages (from-to)	150-163
Number of pages	14
Journal	Theoretical and Applied Fracture Mechanics
Volume	72
Issue number	1
DOIs	https://doi.org/10.1016/j.tafmec.2014.02.004
Publication status	Published - 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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10.1016/j.tafmec.2014.02.004

Cite this

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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.",

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AU - Nguyen-Thoi, T.

AU - Rabczuk, T.

AU - Lam-Phat, T.

AU - Ho-Huu, V.

AU - Phung-Van, P.

PY - 2014

Y1 - 2014

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AB - 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.

KW - Cell-based smoothed discrete shear gap method (CS-DSG3)

KW - Cracked Mindlin plate

KW - Extended finite element method (XFEM)

KW - Free vibration analysis

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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