TY - JOUR
AU - Thanh, Chau Dinh
AU - Tuyen, Vo Ngoc
AU - Phuc, Nguyen Hoang
PY - 2017/09/23
Y2 - 2023/02/03
TI - A cell-based smoothed three-node plate finite element with a bubble node for static analyses of both thin and thick plates
JF - Vietnam Journal of Mechanics
JA - Vietnam J. Mech.
VL - 39
IS - 3
SE - Research Article
DO - 10.15625/0866-7136/8809
UR - https://vjs.ac.vn/index.php/vjmech/article/view/8809
SP - 229-243
AB - <p>This paper develops the cell-based (CS) smoothed finite element method for a three-node plate finite element with a bubble node at the centroid of the element. Based on the first-order shear deformation theory, the in-plane strains are smoothed on three non-overlapped subdomains of the element to transform the numerical integration of the element stiffness matrix from the surfaces into the lines of the subdomains. The shear-locking phenomenon, which occurs when the plate's thickness becomes small, is removed by employing the mixed interpolation of tensorial components (MITC). The present element, namely CS-MITC3+, passes the patch test and behaves independently from the sequence of node numbers of the element. Numerical results given by the CS-MITC3+ elements are better than the MITC3+ elements. As compared to other smoothed three-node plate finite elements, the CS-MITC3+ is a good competitor.</p>
ER -