Open AccessAn edge-based smoothed finite element for buckling analysis of functionally graded material variable-thickness plates
Author(s) -
Tran Trung Thanh,
Van Ke Tran,
Quoc Hoa Pham,
Nguyen Thoi Trung
Publication year - 2021
Publication title -
vietnam journal of mechanics/mechanics
Language(s) - English
Resource type - Journals
eISSN - 2815-5882
pISSN - 0866-7136
DOI - 10.15625/0866-7136/15503
Subject(s) - finite element method , smoothing , smoothed finite element method , structural engineering , enhanced data rates for gsm evolution , buckling , mixed finite element method , variable (mathematics) , interpolation (computer graphics) , element (criminal law) , stiffness , materials science , geometry , mathematics , mathematical analysis , engineering , boundary knot method , mechanical engineering , telecommunications , statistics , frame (networking) , boundary element method , political science , law
The paper aims to extend the ES-MITC3 element, which is an integration of the edge-based smoothed finite element method (ES-FEM) with the mixed interpolation of tensorial components technique for the three-node triangular element (MITC3 element), for the buckling analysis of the FGM variable-thickness plates subjected to mechanical loads. The proposed ES-MITC3 element is performed to eliminate the shear locking phenomenon and to enhance the accuracy of the existing MITC3 element. In the ES-MITC3 element, the stiffness matrices are obtained by using the strain smoothing technique over the smoothing domains formed by two adjacent MITC3 triangular elements sharing the same edge. The numerical results demonstrated that the proposed method is reliable and more accurate than some other published solutions in the literature. The influences of some geometric parameters, material properties on the stability of FGM variable-thickness plates are examined in detail.