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An extended cell-based smoothed discrete shear gap method (XCS-DSG3) for free vibration analysis of cracked Reissner-Mindlin shells

Authors: 

M.H. Nguyen-Thoi, L. Le-Anh, V. Ho-Huu, T. Nguyen-Thoi*

Source title: 
Frontiers of Structural and Civil Engineering, 9(4): 341-358, 2015 (Scopus)
Academic year of acceptance: 
2014-2015
Abstract: 

A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) was recently proposed and proven to be robust for free vibration analyses of Reissner-Mindlin shell. The method improves significantly the accuracy of the solution due to softening effect of the cell-based strain smoothing technique. In addition, due to using only three-node triangular elements generated automatically, the CS-FEM-DSG3 can be applied flexibly for arbitrary complicated geometric domains. However so far, the CS-FEM-DSG3 has been only developed for analyzing intact structures without possessing internal cracks. The paper hence tries to extend the CS-FEM-DSG3 for free vibration analysis of cracked Reissner-Mindlin shells by integrating the original CS-FEM-DSG3 with discontinuous and crack–tip singular enrichment functions of the extended finite element method (XFEM) to give a so-called extended cell-based smoothed discrete shear gap method (XCS-FEM-DSG3). The accuracy and reliability of the novel XCS-FEM-DSG3 for free vibration analysis of cracked Reissner-Mindlin shells are investigated through solving three numerical examples and comparing with commercial software ANSYS.