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A cell-based smoothed three-node Mindlin plate element (CS-MIN3) based on the C0-type higher-order shear deformation for geometrically nonlinear analysis of laminated composite plates

Authors: 

P. Phung-Van, T. Nguyen-Thoi, T. Bui-Xuan, Q. Lieu-Xuan

Source title: 
Computational Materials Science, 96 (Part B): 549-558, 2015 (ISI)
Academic year of acceptance: 
2015-2016
Abstract: 

A cell-based smoothed three-node Mindlin plate element (CS-FEM-MIN3) based on the first-order shear deformation theory (FSDT) was recently proposed for static and free vibration analyses of Mindlin plates. In this paper, the CS-FEM-MIN3 is extended to geometrically nonlinear analysis of laminated composite plates. The nonlinear formulation is based on the C0-type high-order shear deformation plate theory (C0-HSDT) and the von Kármán strains, which deal with small strains and moderate rotations. In the process of formulating the system stiffness matrix of the CS-FEM-MIN3, each triangular element will be divided into three sub-triangles, and in each sub-triangle, the MIN3 is used to compute the strains. Then the strain smoothing technique on whole the triangular element is used to smooth the strains on these three sub-triangles. The accuracy and reliability of the proposed method is verified by comparing its numerical solutions with those of available other numerical results.