PHƯƠNG PHÁP PHẦN TỬ HỮU HẠN VỚI KỸ THUẬT TRƠN CẠNH
SỬ DỤNG TAM GIÁC CHO PHÂN TÍCH TẤM REISSNER/ MINDLIN

AN EDGE-BASED SMOOTHED TRIANGULAR FINITE ELEMENT
METHOD FOR REISSNER/ MINDLIN PLATE ANALYSIS

Nguyen Xuan Hung1,3, Liu Gui Rong 1,2, Nguyen Thoi Trung 2,3, Ngo Thanh Phong3
1Singapore-MIT Alliance (SMA), E4-04-10, 4 Engineering Drive 3, Singapore, 117576
2Center for Advanced Computations in Engineering Science (ACES), Department of
Mechanical Engineering
National University of Singapore, 9 Engineering Drive 1, Singapore 117576
3Faculty of Mathematics and Informatics, University of Science, VNU-HCMC

Abstract
    The paper presents an edge-based smoothed finite element method for static analysis of Reissner - Mindlin plates using triangular elements. The calculation of the system stiffness matrix is performed using strain smoothing technique over the smoothing cells associated with edges of elements. In order to avoid transverse shear locking, the discrete shear gap (DSG) method with a stabilization technique recently developed is adopted and coined into a new element named an edge-based smoothed discrete shear gap method (EDSG). The numerical examples demonstrated that the present method is free of shear
locking and obtains very accurate results compared to the exact solutions and other existing elements. Key words: plate bending, finite elements, edge-based smoothed finite elements, discrete shear gap (DSG) method