Nhảy đến nội dung

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

Authors: 

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

Source title: 
Theoretical and Applied Fracture Mechanics, 72: 150-163, 2014 (ISI)
Academic year of acceptance: 
2014-2015
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.