TY - JOUR
T1 - Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3)
AU - Nguyen-Thoi, T.
AU - Rabczuk, T.
AU - Lam-Phat, T.
AU - Ho-Huu, V.
AU - Phung-Van, P.
N1 - Funding Information:
This research is funded by Foundation for Science and Technology Development of Ton Duc Thang University (FOSTECT), website: http://fostect.tdt.edu.vn, under Grant No. FOSTECT.2014.BR.01.
Publisher Copyright:
© 2014 Elsevier Ltd.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2014
Y1 - 2014
N2 - 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.
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
KW - Smoothed finite element method (S-FEM)
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U2 - 10.1016/j.tafmec.2014.02.004
DO - 10.1016/j.tafmec.2014.02.004
M3 - Article
AN - SCOPUS:84922338365
SN - 0167-8442
VL - 72
SP - 150
EP - 163
JO - Theoretical and Applied Fracture Mechanics
JF - Theoretical and Applied Fracture Mechanics
IS - 1
ER -